Question

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD . What is the length of side BD

Answer 1

The length of side BD in the triangle drawn is 2.667

Using pythagoras :

• BC² = AB² - AC²

BC² = 5² - 3²

BC² = 25 - 9

BC² = 16

BC = 4

Using AA similarity rule ; we can relate the sides of the triangles as being similar;

3 = 2

4 = BD

cross multiply

3(BD) = 4 × 2

BD = 8/3

BD = 2.667

Hence, the length of BD is 2.667