Question

A graden 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

Question :

A graden 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?

Given :

• Area of right angled triangle = 72 sq.m
• Two sides comprising the right angles are equal.

To find :

• Length of the sides comprising right angle.

Solution :

Let the sides comprising the right angle be x.

As, it is mentioned in the question that these sides are equal so will take both sides as x.

Area of triangle = 1/2 × base × height

⇒ 72 = 1/2 × x × x

⇒ 72 = 1 /2 × x²

⇒ 72 × 2 = x²

⇒ 144 = x²

⇒ √144 = x

⇒ 12 = x

Therefore, length of sides = x = 12m

Height = x = 12m

Base = x = 12m

Answer 2

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Question :

A garden in the form of a right angled △ has an area of 72 m². If the two sides comprising the right angles are equal, what could be the length of these sides?

Given :

• Area of garden is 72 cm²!

To Find :

• Sides of garden (base and height) which are equal!

Solution :

❍ Formula that we will use :-

___________________________

Area of right angled △ = ½ × B × H

Let base of garden = x. So, height also = x

❍ Putting all values :-

⇒ㅤㅤ72 = ½ × x × x

⇒ㅤㅤ72 × 2 = x²

⇒ㅤㅤ144 = x²

⇒ㅤㅤx = √144

⇒ㅤㅤx = √12 ×12

⇒ㅤㅤx = 12

∴ Base of △ = Height of △ = 12 m !

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