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

Question

The base of a right &#x2013; angles triangle measures 48cm and its hypotenuse measures 50cm. Find the area of the triangle.

Philoid · Accepted Answer

Given that,

Base = BC = 48 cm

Hypotenuse = AC = 50 cm

Let us assume AB = x cm

By using Pythagoras theorem, we get

AC² = AB² + BC²

Putting the value of BC, AC and AB we get:

50² = x² + 48²

x² = 50² - 48²

x² = 2500 – 2304

x² = 196

x =

x = 14 cm

We know that,

Area of right angle triangle =

=

= 24 × 14

= 336 cm²