Question

The base of a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.

Answer 1

We are given with a right-angled triangle whose measures are
Base $=48cm$
Hypotenuse $=50cm$
Using Pythagoras Theorem:
Hypotenuse${}^2=$ Base${}^2+$ Perpendicular${}^2$
${50}^2={48}^2+$ Perpendicular${}^2$
or Perpendicular ${}^2=2500-2304=196$
or Perpendicular $=14cm$
Now,
Area of a triangle $=\frac{1}{2}\times Base\times Height$
$=\frac{1}{2}\times 48cm\times 14cm$
$=336c{m}^2$