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Question
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.
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`
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