Question

find the area of a right angled triangle if the radius of its circumcircle is 2.5 cm and altitude drawn to the hypotenuse is 2cm long

Answer 1

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Answer 2

Given:

Radius ,r=2.5 cm

Altitude =2 cm

To find:

Area of right angled triangle

Solution:

When a triangle is right angled triangle then the circumcenter is the midpoint of hypotenuse.

By definition of circumcenter

Hypotenuse=2(radius)=2(2.5)=5 cm

Now, the area of triangle=$\frac{1}{2}\times height\times base$

Using the formula

Area of triangle=$\frac{1}{2}\times 5\times 2=5 cm^2$

Hence, the area of right angled triangle= 5 square cm