find the area of a right angle tiangle , if the radius of its circumcircle is 5cm and the altitude drawn to the hypothenuse is 4 cm
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Assume a right triangle ABC, right angled at B. So, AC is hypotenuse & Altitude drawn from B to AC is BD= 4 cm
Circumcentre of any right triangle is the mid point of its hypotenuse. Let M be the mid point of hypotenuse AC.
So, M is the circumventre & AM = CM = circumradius = 5 cm.
Mow, area tri ( ABC) = 1/2 * AC * BD
=> area( tri ABC) = 1/2 * 10 * 4
=> area( tri ABC) = 20 cm²
Area( right triangle ABC) = 20 cm²
Circumcentre of any right triangle is the mid point of its hypotenuse. Let M be the mid point of hypotenuse AC.
So, M is the circumventre & AM = CM = circumradius = 5 cm.
Mow, area tri ( ABC) = 1/2 * AC * BD
=> area( tri ABC) = 1/2 * 10 * 4
=> area( tri ABC) = 20 cm²
Area( right triangle ABC) = 20 cm²
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