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Question
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`
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