Question

If the length of each side of the right triangle shown on the grid is measured in cm, find the area of the triangle.
A) 25 cm2
B) 50 cm2
C) 100 cm2
D) 225 cm2

Answer 1

Step-by-step explanation:

Any triangle with one of the angles equal to 90° is called a right angled triangle or simply a right triangle.

The area A of a right triangle with sides a and b is given by

A = (1 / 2) a × b

The perimeter P of a right triangle with sides a and b and hypotenuse h is given by

P = a + b + h

Using the Pythagorean theorem, we can write

h 2 = a 2 + b 2

which gives

h = √(a 2 + b 2)

Hence the perimeter can be written in terms of a and b only as follows:

P = a + b + √(a 2 + b 2)