Question

The base of a right triangle is 8 cm and hypotenuse is 10 cm. Find its area

Answer 1

given :-

base of the right angle triangle = 8cm

hypotenuse of the right angle triangle = 10cm

we know the formula for finding the area of a right angle triangle. that's 1/2 × b × h

where b is the base of the triangle and h is the altitude of the triangle.

here we aren't given the altitude. we r given base and hypotenuse. so first of all, we have to find it's altitude.

by Pythagoras theorem :-

==> b² + p² = h²

==> 8² + p² = 10²

==> 64 + p² = 100

==> p² = 100 - 64

==> p² = 36

==> p = √36

==> p = 6

therefore the altitude of the triangle is 6cm.

now, area of the triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 4 × 6

= 24cm²

hence, it's area is 24cm²

hope this helps..!!