Question

Which of the following are measurements of the sides of a right triangle?

A) 10, 8, 6

B) 13, 12, 5

C) 26, 24, 10

D) all of the above

Answer 1

D) all of the above

Explanation:

Since, By the Pythagoras theorem,

In a right angle the sum of the square of two small sides is equal too the square of the large side.

Since,

`10^2=8^2+6^2`

⇒ They are measures of a right triangle.

`13^2=12^2+5^2`

⇒ They are measures of a right triangle.

`26^2=24^2+10^2`

⇒ They are measures of a right triangle.

Hence, option 'D' is correct.

Answer 2

by using pythagoras theoram
h^2=a^2+b^2
26^2=24^2+10^2
676=576+100
676=676
26, 24, 10 are measurements of the sides of a right triangle