Question

The sides of a rectangle are in the ratio 6 : 8, find the smaller side of the rectangle if its diagonal is 100 cm

1) 80cm

2) 60cm
.
3) 12cm

4) 16cm​

Answer 1

Answer:

2) 60 cm

Step-by-step explanation:

In rectangle ABCD,

If we draw diagonal BD,

Then it will make a right angled triangle,

By pythagorous Theorem,

100^2 = 6x^2 + 8x^2,

10000 = 36x^2 + 64x^2,

10000 = 100x^2,

10000 = x^2

100

100 = x^2,

10 = x,

6x = 6 * 10,

= 60 cm,

8x = 8 * 10,

= 80 cm,

So the smaller side will be 60 cm.

Answer 2

Answer:

Your answer is

(2) 60 cm

Step-by-step explanation:

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