Question

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

Answer 1

Answer: Option 'b' is correct.

Step-by-step 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:

$H^2=B^2+P^2\\\\H^2=\sqrt{10}^2+\sqrt{15}^2\\\\H^2=10+15\\\\H^2=25\\\\H=\sqrt{25}\\\\H=5$

Hence, hypotenuse of right triangle is 5 units.

Therefore, Option 'b' is correct.

Answer 2

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