Question

find the area of the triangle. 20ft, by 21ft. by 29ft.

Answer 1

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

$20^{2} +21^{2} =29^{2} \\400+441=841\\841=841$

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

$a=b*h\\a=20*21\\a=420$

And then the area of the triangle is:

$a=\frac{420}{2}\\a=210$