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.

Answer 1

The area of the given triangle is 25 square cm.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of the triangle.

The right bottom end of the triangle is at (15, 5).

The bottom left end of the triangle is at (10, 5).

The top left end of the triangle is (10, 5).

The area of a triangle is given by half the product of its base length and the height of the triangle.

Step 2:

The area of a triangle$= \frac{1}{2} (base)(height).$

The base is the distance between the bottom two points. The base length$= 15 -10 = 5$ cm.

The height is the distance between the two left points. The height$= 15 - 5 = 10$ cm.

The area of the triangle $= \frac{1}{2} (5)(10) = 25.$

The area of the given triangle is 25 square cm.