Question

if the base of a right angle triangle is 6 cm and the hypotenuse is 10 cm find its area​

Answer 1

Step-by-step explanation:

hypotenuse ^2=base ^2+height^2

10^2=6^2+height^2

100=36+height^2

height =8 cm

area of triangle =1/2 x base x height

=1/2 x 6 x 8

=24 cm^2

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Answer 2

Area of a triangle is 24cm²

Explanation:

Given:

1. The base of a right angle triangle is 6 cm

2.The hypotenuse is 10 cm

To find:

The area of Triangle

Formula:

Area of a Triangle = $\frac{1}{2}b\times h$

Hypotenuse²= Adjacent²+ Opposite²

Solution:

==> Find the adjacent side of a triangle

==> Hypotenuse = 10cm

==> Opposite = 6cm

==> Hypotenuse²= Adjacent²+ Opposite²

==> 10² = Adjacent²+6²

==> Adjacent² = 10²-6²

==> Adjacent² = 100-36

==>  Adjacent² = 64

==> Taking Square roots on both sides

==>  √Adjacent² = √64

==> Adjacent = 8cm

==> Base = 6cm

==> height = 8cm

==> Area of a Triangle = $\frac{1}{2}b\times h$

==> Area = $\frac{1}{2}6\times 8$

==> Area = 3×8

==> Area of a triangle is 24cm²