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