Question

In triangle ABC, D is the midpoint of AC, find the measure of BD.

Answer 1

Thorow them hands, this is the solution:

As you can see, we have a right triangle BCD, therefore we can use the Pythagorean Theorem to calculate BD, as follows:

CD = 10/2

CD = 5 cm

CD = Leg 2

BD² = Hyptenuse² - Leg2 ²

BD² = 13² - 5²

BD² = 169 - 25

BD² = 144

Square root at both sides:

√BD² = √144

BD = 12 cm