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

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

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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
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