Question

Find the hypotenuse of a right triangle whose legs are sqrt of 10 and sqrt of 15.

a. sqrt of 5
b. 5
c. 15

Answer 1

sqrt{10}² + sqrt15² = c²

The square of any square root is that number without the square root sign

So now we have 10 + 15= c²
25 = c²
So c= 5

Answer 2

Answer: Option 'b' is correct.

Explanation:

Since we have given that

Length of first leg = √10

Length of second leg = √15

We need to find the length of hypotenuse of the right triangle:

`H^2=B^2+P^2\\\\H^2=√(10)^2+√(15)^2\\\\H^2=10+15\\\\H^2=25\\\\H=√(25)\\\\H=5`

Hence, hypotenuse of right triangle is 5 units.

Therefore, Option 'b' is correct.