Question

In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are

A) 4 cm and 3 cm B) 8 cm and 6 cm C) 12 cm and 9 cm D) 16 cm and 12 cm

Answer 1

Answer:

so option D] 16cm and 12cm.

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Step-by-step explanation:

Let the sides be 4x and 3x.

By Pythagoras theorem we have,

x²+y²=z²

(4x)²+(3x)²=20²

16x²+9x²=400

25x²=400

x²=16

x=√16

x=4 (Rejecting -4 as length cannot be negative.)

As we know that the sides are 4x and 3x,

Plugging in value of x we get the sides as,

16cm and 12cm.

Hope this helps.