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Worksheet Triangle Sum And Exterior Angle Theorem


Worksheet Triangle Sum And Exterior Angle Theorem

yg bisa bantuin yakk.. the sum of the three angles of triangle is 180degree. the sum of the angle is equal to the third angle and the difference of the two angles is equal to 2/3 the third angle. find the angles of this triangle

Daftar Isi

1. yg bisa bantuin yakk.. the sum of the three angles of triangle is 180degree. the sum of the angle is equal to the third angle and the difference of the two angles is equal to 2/3 the third angle. find the angles of this triangle


Misalkan sudut A,B,C
A=B
A+B=⅔C
A+B+C=180
1:1:3=180

maka
2A+3A=180
5A=180
A=180/5
A=36

A+B+C=180
36+36+C=180
C=180-72
C=108

Jadi sudut A=36, B=36 dan C=108

2. if one angle of a triangle is equal to the sum of other two angles then the triangle is-:i) an isoscales triangle.ii) an obtuse triangle.iii) an equilateral triangle.iv) a right triangle.​


Jawaban:

iii) an equilateral triangle

mungkin

maafkalausalahya.


3. . A triangle has ...... angle​


A triangle has three angles.

Artinya :

segitiga memiliki tiga sisi.

namanya juga segitiga, sisinya pasti ada tiga.

Jawaban:

Penjelasan:A triangle has three angle


4. What is the sum of all angles of a triangle?


jumlah dari seluruh sisi dari segitiga adalah 3.

semoga membantu ^_^

5. Cunstrud triangle PQR (right angle) 6 cm 8 cm


Jawaban:

[tex]x = \sqrt{ {6}^{2} + {8}^{2} } = \sqrt{36 + 64} = \sqrt{100} = \sqrt{ {10}^{2} } = 10[/tex]


6. Given a triangle ABC. Angle A is 50 degrees. Angle B is 23 degrees greater than angle C. Calculate angle B and C


Given :

∠A = 50°

∠B = 23° + ∠C

Question :

∠B = ?

∠C = ?

Answer :

In Triangle we know that the sum of internal angles of triangle is equal to 180°.

∠A + ∠B +∠C = 180°

50° + 23° +∠C +∠C = 180°  

73° + 2 ∠C = 180°

2∠C = 180° - 73°

2∠C = 107°

∠C = 107° ÷ 2

∠C = 53.5°

∠B = 23° + 53.5°

∠B = 76.5°


7. what is theorem in math?and 2 examples of theorem​


Jawaban:

A result that has been proved to be true (using operations and facts that were already known). Example: The "Pythagoras Theorem" proved that a2 + b2 = c2 for a right angled triangle.

**Makasih synkk**


8. Angle ABCD is a trapezium, ABE is an isosceles triangle. Find


Jawaban:

Saya tidak tahu

Penjelasan dengan langkah-langkah:

Terimakasih


9. In the diagram, BAF and BCE are straight lines, ACD is parallel to FE and CE = DE. angle CDE=61 and angle AFE=70. find angle CED, angle CEF, angle FAC, and angle ABC.


Jawaban:

semoga membantu

p

p

p

p

p

p

Jawab:

Penjelasan dengan langkah-langkah:


10. 18. If the size of the angles of triangle are 3x°,4x°and 5x°. The biggest angle of triangle is ...​


sudut segitiga = 180°

3x° + 4x° + 5x° = 180°

12x = 180

x = 180/12

x = 15

sudut terbesar = 5x = 5 × 15 = 75°


11. aku ada pertanyaan matematika nih tp pake bahasa inggris . ada yag bisa bantu gk ? ini soalnya 1. the sum of the three angles of a triangle is 180degree. the sum of two of the angles is equal to the third angle and the difference of the two angles is equal to


jumlah dari tiga sudut segitiga adalah 180 derajat . jumlah dua sudut  sama dengan sudut ketiga dan perbedaan dari dua sudut sama dengan...

misal sudutnya : a + b + c = 180
a + b = c
a + b - c = 0
eliminasi diperoleh
2c = 180
c = 90
a + b = 90
a = 90 - b


12. The angle of a triangle are (x-35 ) ,(x-25) and (1/2 x-10 ) what is the largest angle of the triangle


sum of angles = 180°

x-35 + x-25 + 0.5x-10 = 180°

2.5x - 70 = 180°

2.5x = 250

x = 100

angle 1 => 100 - 35 = 65°

angle 2 => 100 - 25 = 75°

angle 3 => 50 - 10 = 40°

May it favours you :)


13. If the size of the angles of triangle are 3x°,4x°,5x°.the smallest angle of the triangle is


Jawaban Master Teacher

12x = 180°

x = 15°

smallest angle

3x = 45°

14. When there is triangle ABC, the angle A is 55 and angle C is 60. What is the size of angle B? 75'65'55'85'​


Jawaban:

triangle is a 180° shape

So if we use that assumption then

180 - 55 - 60 = 65°

So angle B's size is 65°

THE ANSWER IS B


15. The perimeter of an isosceles triangle is 36 cm. If the base is 10 cm, the area of the triangle is .... cm2. (Pythagorean Theorem)


Penjelasan dengan langkah-langkah:

½ kali 10 kali 36 =

10 kali 36 : 2 =

360 : 2 = 180 cm²

maaf kalo salah ^_^

Pythagorean Theorem

"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".

Question:

The perimeter of an isosceles triangle is 36 cm. If the base is 10 cm of length, the area of the triangle is ... cm²

Step by step:

Isosceles triangle have 36 cm of its perimeter. The perimeter of triangle is calculated by sum of each side.

Finding length of each leg (x):

36 cm = 10 + x + x

36 = 10 + 2x

26 = 2x

x = 13 cm.

To find the height of triangle, use pythagorean theorem. Let height is written by "y".

[tex]\displaystyle\\y = \sqrt{13^2 - 5^2}\\\\y = \sqrt{169 - 25}\\\\y = \sqrt{144}\\\\y = 12~\text{cm}[/tex]

Calculate the area:

[tex]\text{Area of triangle:}\\\\\boxed{\frac{\text{base}\times\text{height}}{2}}[/tex]

[tex]\displaystyle= \frac{10 \times 12}{2}\\\\= \frac{120}{2}\\\\= 60~\text{cm}^2[/tex]

Conclusion:

The area of an isosceles triangle with 10 cm length of base and 36 cm of its perimeter is 60 cm²

============================

Lesson Category:

(based of the Indonesian Curriculum)

Class: 8th grade of junior high schoolSubject: MathematicsLesson Category: Pythagorean TheoremLesson Code: 8.2.4

16. Determine the angle θ in the right triangle shown.​


Jawaban:

35,54 derajat

Penjelasan:

ada di dalam gambar


17. How to find angle of triangle if sides are given ?


JAWABAN:

How to find a side of a triangle.

As we known as, Triangle total sides, if it is a equaled are 180°, so.. to find an angle, we just need to

Substract the 180° - side - side = answer

Example:

A ------------------- B

   \                   /

      \              /

        \         /

           \  /

           C

A: 60°

B: 40°

C: ?

  : 180° - 60° - 40° = 80°

So, side C is 80°

IMPORTANT POINTS

-so, If you are given an equilateral triangle, all sides should be in a same angle, for ex: 180° ÷ 3 sides of a triangle = 60°, so, A side of an equilateral triangle Must be 60°

-and also, if you are given an isosceles triangle, meaning, two sides are equal. Ex:

A --------------------------------------------- B

    \                                                /

        \                                        /

            \                                /

               \                          /

                   \                   /

                       \             /

                           \       /

                               C

A: 45°

B: is same as A : 45°

C: ?

  : 180° - 45° - 45° : 90°

Semoga membantu :)

mapel: english-mathematics

kelas: 5 SD // 6 SD

topik: Triangles


18. the sum of three angles of triangle of 180 deg. the sum of two of the angles is equal to the third angle and the difference of the two angles is equal to 2/3 the third angles find the angles of this triangle?


suppose that :
x = first angle
y = second angle
z = third angle

The sum of three angles of triangle of 180°
So :
x + y + z = 180

The sum of two of the angles is equal to the third angle
So :
x + y = z

The difference of the two angles is equal to 2/3 the third angles
So :
x - y = (2/3) z

subtitute x + y = z
x + y + z = 180
z + z = 180
2z = 180
z = 180/2
z = 90

x + y = z
x + y = 90

x - y = (2/3) z
x - y = (2/3) (90)
x - y = 60 >>> x = 60 + y

subtitute x = 60 + y
x + y = 90
60 + y + y = 90
60 + 2y = 90
2y = 90 - 60
2y = 30
y = 30/2
y = 15

x = 60 + y
x = 60 + 15
x = 75

We got :
x = 75
y = 15
z = 90

So, the angles are 75°, 15°, and 90°

19. the sum of exterior angles from pentagon......


I assumed for your problem is a regular pentagon, then the sum of exterior angles from pentagon :
5 (180° - 108°)
= 5(72°)
= 360°

20. efgf is a rhombus and triangle hgk is an equiteral angle. fk is a straight angle find efg​


Jawab:its trapezoid

Penjelasan dengan langkah-langkah:coz, the shape is trapezoid

So sorry i am in wrong:(


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