Question

What is the exact length of BD? Show your work (type or draw).

Answer 1

BD = 12m

Explanation:

a^2 + b^2 = c^2
dc = 10/2 = 5

5^2 + b^2 = 13^2
25 + b^2 = 169

b^2 = 169 - 25

b = square root (144)

b = 12

Answer 2

Answer: hope this helps ♡

The exact length of BD is 12cm

Explanation:

Pythagorean Theorem: a² + b² = c²

DC = 10/2 = 5cm

BC = 13cm

a² + b² = c²

5² + b² = 13²

b² = 13² - 5² (rearrange the equation to make b the subject)

b² = 169 - 25

b² = 144

b = √144 = 12cm