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

Hypotenuse of the right triangle is √25 unit.

Step-by-step 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.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2