Question

One leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Find the lengths of the legs of the triangle. tried (18,24) got it wrong please help

Answer 1

Answer:

The lengths of the legs of the triangle are 18 inches,24 inches and  30 inches

Step-by-step explanation:

Given :One leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches.

To Find :  Find the lengths of the legs of the triangle.

Solution :

Let the other leg be x

We are given that One leg of a right triangle is 6 inches longer than the other leg

So, One leg = x+6

Hypotenuse = 30 inches

Since it is a right angled triangle

$Hypotenuse^2 = Perpendicular^2+Base^2$

$30^2 = (x+6)^2+x^2$

$900 = x^2+36+12x+x^2$

$x=-24,18$

Since the length of side cannot be negative

So, we neglect -24

So, x = 18 inches

x+6 = 18+6=24 inches

Hypotenuse= 30 inches

Hence the lengths of the legs of the triangle are 18 inches,24 inches and  30 inches