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Find the Area of a Right – Angled Triangle, the Radius of Whose, Circumference Measures 8 Cm and the Altitude Drawn to the Hypotenuse Measures 6 Cm. - Mathematics

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Find the area of a right – angled triangle, the radius of whose, circumference measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm. 

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Solution

Given: radius = 8 cm

Height = 6 cm

Area = ?

In a right angled triangle, the center of the circumference is the midpoint of the hypotenuse. 

Hypotenuse `2xx`(radius of circumference) for a right triangle 

=`2xx8` 

=`16cm` 

So, hypotenuse = 16 cm

Now, base = 16 cm and height = 6 cm 

Area of the triangle=`1/2xxbasexxheight` 

=`1/2xx16xx6` 

=`48 cm^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 15
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