N the diagram below, if the measure of < C = 45 °, and side AB = 11, then side AC = _____.

Question

asked Feb 4, 2023 122k views

1 Answer

FBidu · Answer 1 · 2023-02-10T19:57:05+0000

In the given right triangle ABC

Remember that

mso

If mthen

mthat means

Triangle ABC is an isosceles right triangle

AB=BC=11

Applying Pythagorean theorem

$\begin{gathered} AC^2=AB^2+BC^2 \\ AC^2=11^2+11^2 \\ AC^2=(2)11^2 \\ AC=11√(2) \end{gathered}$