Question

2. In a right angle triangle base = 12cm, Hypotenuse = 20cm then perpendicular =​

Answer 1

✯ Answer :

• Perpendicular = 16 cm.

✯ Given :

• Base = 12 cm
• hypotenuse = 20 cm

✯ To find :

• Perpendicular

✯ Solution :

Using Pythagoras theorem,

(hypotenuse)² = (Base)² + (Perpendicular)²

[Substituting the value of hypotenuse and base]

➪ (20)² = (12)² + (Perpendicular)²

➪ 400 = 144 + (Perpendicular)²

➪ (Perpendicular)² = 400 - 144

➪ Perpendicular = 256

➪ Perpendicular = √256

➪ Perpendicular = ±16

We know that, length can't be negative.

.°. Length of the perpendicular = 16 cm.