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CBSE Class 7 Answered

If one angle of a triangle is equal to the sum of the other two, show that the triangle is right-angled.
Asked by anuragshukla25832 | 09 Dec, 2023, 07:54: PM
answered-by-expert Expert Answer

Let the measure of angles of the triangle be a, b, and c.

Then by angle sum property in triangles we have

a + b + c = 180 ... (1)

Also, given that

c = a + b ...(2)

Hence, 

Sub (2) in (1), we get

c + c = 180

∴ 2c = 180

∴ c = 90

Hence, the triangle is right-angled.

Answered by Arun | 11 Dec, 2023, 11:09: AM
CBSE 7 - Maths
Asked by anuragshukla25832 | 09 Dec, 2023, 07:54: PM
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