the angle of a triangle are un the rtio of 3:7:8 .find the angles of the triangle
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Answer:
we can right the ratio 3x:7x:8x
so, 3x, 7x and 8x are angles of triangle.
3x+7x+8x = 180°
=> 18x = 180°
=> x = 10°
so, the angles are 3x= 3×10° = 30°,
7x= 7×10° = 70°
and, 8x= 8×10° = 80°
Answered by
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Answer :
- First angle = 3x = 3(10) = 30⁰
- Second angle = 7x = 7(10) = 70⁰
- Third angle = 8x = 8(10) = 80⁰
- 30⁰ , 70⁰ and 80⁰ are the angles of triangle
Given :
- The angle of a triangle are in the ratio of 3 : 7 :8
To find :
- The angles of the triangle
Solution :
Given ratio , 3 : 7 : 8
- Let the first ratio of angle be 3x
- Let the second ratio of angle be 7x
- Let the third ratio of anglebe 8x
As we know that ,
- Sum of all angles of a triangle is equal to 180⁰
➼ 3x + 7x + 8x = 180⁰
➼ 18x = 180
➼ x = 180/18
➼ x = 10
Therefore ,
- First angle = 3x = 3(10) = 30⁰
- Second angle = 7x = 7(10) = 70⁰
- Third angle = 8x = 8(10) = 80⁰
Hence, 30⁰ , 70⁰ and 80⁰ are the angles of triangle
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