Question

20.
Use the figure to find the length of BC.

Answer 1

B) 2

Explanation:

First, we need to find BD:

by the Pythagorean theorem, (sqrt13)^2 + (sqrt23)^2 = BD^2

we can simplify this to 13+23=BD^2, which means BD^2 = 36, and BD is 6.

Therefore to find BC, we can use the Pythagorean theorem again and create the formula:

(4sqrt2)^2 + BC^2 = 6^2

This simplifies to 32 + BC^2 = 36, which means that BC^2 = 4, and BC = 2.