Question

a garden in the form of a right angled triangle has an area of 72 square metre if the two sides comprising the right angles are equal what what could be the length of the sides

Answer 1

Answer: 12 m, 12 m, 12√2 m

Step-by-step explanation:

Let the length of the equal sides be a.

Now, we know that one side of the right angled triangle forming the right angle is the base and one of them is the height.

Hence, area of Δ= base×height÷2

72 m²= a×a÷2

72×2=a×a

144=a²

√144=a

12 m=a

Hence, the equal sides are of 12 m each.

Now, by Pythagoras Theorem,

(hypotenuse)²=(base)²+(height)²

h²=2a²

h=√2a

h=12√2 m

Hope it helps :)