Question

if the base of a right angled triangle is 15 cm and its hypotenuse is 25 CM, then find its area.

Answer 1

$area \: of \: traingle = \frac{1}{2} \times b \times h$

$\frac{1}{2} \times ac \times ab$

$ab {}^{2} + ac {}^{2} = bc {}^{2}$

$ab {}^{2} = bc {}^{2} - ac {}^{2}$

$ab {}^{2} = 25 {}^{2} - 15 {}^{2}$

$= 625 - 225$

$ab {}^{2} = 400$

$ab = 20cm$

$area \: = \frac{1}{2} \times 15 \times 20$

= 150cm