Question

Find the hypotenuse of a right triangle whose legs are (square root of 10) and (square root of 15)

Answer 1

Use the Pythagorean Theorem: a² + b² = c²


`(√(10) ) ^(2) +( √(15) ) ^(2) = c^(2)`
10 +15 = c²
25 = c²
5 = c "c" represents the hypotenuse so your answer is "5"

Answer 2

Hypotenuse of the right triangle is √25 unit.

Explanation:

Given:

Legs of the right angles triangle are √10 and √15

To find:

Hypotenuse of the right angles triangle.

We are given a right angled triangle,

So we use Pythagoras theorem of the right angles triangle which states that square of the hypotenuse is equal to sum of the square of the legs of the triangle.

⇒ (Hypotenuse)² = (√10)² + (√15)²

(Hypotenuse)² = 10 + 15

(Hypotenuse)² = 25

Hypotenuse = ±√25

Hypotenuse can not be negative .

Therefore, Hypotenuse of the right triangle is √25 unit.