Question

In the following figure, ΔMNO is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is ______.

विकल्प

• 4.8 cm

• 3.6 cm

• 2.4 cm

• 1.2 cm

Answer 1

In the following figure, ΔMNO is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is 4.8 cm.

Explanation:

Given, ΔMNO is a right angled triangle.

So, according to Pythagoras theorem,

MO² = MN² + NO²

= 6² + 8²

= 36 + 64

⇒ MO² = 100

⇒ MO = `sqrt(100)`

⇒ MO = 10 cm

∴ Area of ΔMNO = `1/2` × Base × Height

⇒ `1/2` × MN × NO = `1/2` × MO × NP

⇒ `1/2` × 6 × 8 = `1/2` × 10 × NP

⇒ NP = `24/5`

⇒ NP = 4.8 cm