Question

a garden in the form of a right -angled triangle has an area of 72 sq. m. if the two sides comprising the right angles are equal what could be the length of these sides?

Answer 1

Since 2 sides are equal, it is an isoceles right triangle

let the sides be x

then, area of triangle= b*h/2

and b=h=x (since they are the perpendicular sides)

so, area= x²/2=72

=x²=144

= x = √144 = 12m

I hope this helps you!

Answer 2

Answer:

Step-by-step explanation:

The two sides that form the right angle is the base and the height.

In this question the base and the height are equal.

Let the base be x then the height will Also be x.

Area of a triangle = 1/2 × base × height

Hence area = 0.5x^2

72 = 0.5x^2

x^2 = 72/0.5

x^2 = 144

We get the square root of 144 to get x.

We do it as follows :

Square root of 144 = 12 m

= 12 meters.