Question

The area of a triangle is 60 sq.cm and one of its sides is 12 cm. Find the perpendicular distance to that side from the opposite corner​

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.

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★ 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.