Question

Q1.
The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides.                
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Answer 1

Answer:

19.6cm(20 cm)

Step-by-step explanation:

Let one of the sides be x then another side is 4 + x

Applying Pythagoras theorem

(20)² = (x)² + (x + 4)²

400 = x² + x² + 8x + 16

400 = 2x² + 8x + 16

2x² + 8x - 384 = 0

x² + 4x - 192 = 0

x² + 16x - 12x - 192 = 0

x(x + 16) - 12(x + 16) = 0

(x - 12)(x + 16) = 0

x= 12 or x = -16

But length can't be negative.

So one of the side is 12 cm while the other is 16 cm

You can verify this too!

(12)² + (16)² = 144 + 256 = 400

Hypotenuse = √400 = 20 cm

Hope This Helps You!