Question

Find the area of a right angled triangle, if the radius of its circumcircle is 2.5 cm and the

altitude drawn from the hypotenuse is 2.4 cm long.​

Answer 1

Step-by-step explanation:

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

1/2 ×height×base

Using the formula

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

1/2×5×2=5cm

Hence, the area of right angled triangle= 5 cm².

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