Question

The perpendicular sides of the right angled triangle are 12 and 15 centimetres long and another right angled triangle of the same area has one of the perpendicular sides 18 cm long what is the length of the other?

Answer 1

Hey buddy! Here's your answer!

Area of first triangle = 1/2*b*h

                                  = 1/2*12*15

                                  = 90 sq.cm

Area of first triangle = Area of second triangle

90 = 1/2*18*h

90 = 9h

h = 10 cm

Other side is 10 cm.

Answer 2

First,Area of 1st right angled triangle:
$1 \div 2 \times 12 \times 15 = 90cm {}^{2}$
Thus,
Let another side be l
Area:
$1 \div 2 \times 18 \times l$
$= 9l$
$9l = 90$
So,l will be 10cm