Question

Qᴜᴇ - The area of a right triangle is 60 sq.cm and one of its perpendicular sides as 8cm. What is the length of the other side?

Don't spam​

Answer 1

Given :

Area of right angled triangle = 60 cm²

Length of perpendicular side = 8 cm

To find :

Length of other side

According to the question,

Let the base be b

➞ Area of right angled triangle = ½ × base × perpendicular

➞ 60 cm² = ½ × b × 8 cm

➞ 60 cm² = b × 4 cm

➞ 60 cm² ÷ 4 cm = b

➞ 15 cm = b

So, the base of right angled triangle is 15 cm.

___________________

★ Verification :-

We have,

Base = 15 cm

Perpendicular side = 8 cm

➞ Area of right angled triangle = ½ × base × perpendicular

➞ Area of right angled triangle = ½ × 15 cm × 8 cm

➞ Area of right angled triangle = 15 cm × 4 cm

➞ Area of right angled triangle = 60 cm²

So, the area of the right angled triangle is 60 cm².

Hence, it is verified.

Answer 2

Answer :-

• Length of the other side = 15 cm.

Explanation :-

Given :

• Area of Triangle = 60 sq. cm.

• Perpendicular/Height of Triangle = 8 cm.

To Find :

• Length of other side/Base.

Solution :

We know that,

★ Area of Triangle = ½ × Base × Height.

➞ ½ × Base × 8 = 60 cm²

➞ 4 × Base = 60 cm²

➞ Base = 60 ÷ 4.

➞ Base of Triangle = 15 cm.

Therefore, Base of Triangle = 15 cm.

Verification :

➞ ½ × Base × 8 = 60 cm²

➞ ½ × 15 × 8 = 60 cm²

➞ 15 × 4 = 60 cm²

➞ 60 = 60.

LHS = RHS.

Hence, Verified.