Question

For each triangle and figure 12.31, show the height of the triangle that corresponds to that indicated base b. Then use these bases in the Heights to determine the area of each triangle.

Answer 1

We are asked to determine the area of several triangles in the image below.

So we recall thye formula for the area of a trisngle:

Area = Base x Height / 2

so, let's start with:

Triangle A

Its base "b" is 2 units, and its height is 3 units (count the number of dots/ticks between the base and the opposite vertex). Also notice that each unit is 1 cm long.

then Area of A = 2 x 3 / 2 = 3 square cm

Triangle B

the base "b" is one unit, and its height is 2 units , then:

Area of B = 1 x 2 / 2 = 1 square cm.

Triangle C:

Its base "b" is 2 and its height is 5 then:

Area of C = 2 x 5 / 2 = 5 square cm

Triangle D

Its base "b" is 3 units and its height is 2 units then:

Area of D = 3 x 2 / 2 = 3 square cm.