Question

sides of triangle given below set of them right triangle..a)2,3,5b)6,8,10c)8,4,6d)6,8,9​

Answer 1

B) is correct because 100 = 64+36
By pythagoras theorem

Answer 2

We can figure this out using Pythagorean Theorem, if the three sides are a Pythagorean pair, then we can assume that the triangle formed is a right triangle.

Pythagoras Theorem : $a^2 + b^2 = c^2$

So,

(a) 2,3,5

$2^2 + 3^2 = 5^2?$

4 + 9 = 25

16 $\neq$ 25

Not a right triangle

(b) 6,8,10

$6^2 + 8^2 = 10^2?$

36 + 64 = 100

100 = 100

This is a right triangle

(c) 4,6,8

$4^2 + 6^2 = 8^2?$

16 + 36 = 64

52 $\neq$ 64

Not a right triangle

(d) 6,8,9

$6^2 + 8^2 = 9^2?$

36 + 64 = 81

100 $\neq$ 81

Not a right triangle

Therefore, out of the given options only (b) will make a right triangle

Hope this helped! Stay Safe & Stay Sanitized! <3