# The Base of a Right – Angled Triangle Measures 48 Cm and Its Hypotenuse Measures 50 Cm. Find the Area of the Triangle. - Mathematics

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

#### Solution

Base = 48 cm

Hypotenuse 50 cm

First we will find the height of the triangle; let the height be ‘p’.

⇒ (Hypotenuse)^2=(base)^2+p^2

⇒50^2=48^2+p^2

⇒ P^2=50^2-48^2

⇒P^2=(50-48) (50+48)

⇒P^2=2xx98

⇒P^2=196

⇒P=14cm

Area of the triangle=1/2xxbasexxheight

=1/2xx48xx14

=336cm^2

Concept: Circumference of a Circle
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 13