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
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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