Question

question 1 of 10 find m\overline{bc} in \triangle abc.

Explanation:

Step1: Identify triangle properties

$\triangle ABC$ is a right isosceles triangle (right angle at $A$, $\angle C=45^\circ$, so $\angle B=45^\circ$, thus $AB=AC=8$).

Step2: Apply Pythagorean theorem

Use $BC^2 = AB^2 + AC^2$
$$BC^2 = 8^2 + 8^2$$

Step3: Calculate and simplify

$$BC^2 = 64 + 64 = 128$$
$$BC = \sqrt{128} = 8\sqrt{2}$$

Answer:

$8\sqrt{2}$