Question

The legs of a right triangle are in the ratio 3 : 4 and its area is 1014 cm2 . Find the lengths of its legs​

Answer 1

Answer:

Let the legs be 3x and 4x

Then,

2

1

×12x

2

=1014

6x

2

=1014

x

2

=169

x=13

Therefore, length of legs is 3x=3×13=39 cm and 4x=4×13=52 cm.

Answer 2

Answer:

Let the legs be 3x and 4x

Then,

2

1

×12x

2

=1014

6x

2

=1014

x

2

=169

x=13

Therefore, length of legs is 3x=3×13=39 cm and 4x=4×13=52 cm.