For question 4 pls help me , show work step by step

Question

asked Oct 25, 2020 96.3k views

1 Answer

Mirelon · Answer 1 · 2020-10-30T14:41:48+0000

Answer:

c=6.40 units

$\implies \angle B=32\degree$

Explanation:

The given triangle ABC is a right triangle;

According to the Pythagoras Theorem;

c^2=|AC|^2+|BC|^2

We substitute AC=5 and BC=8

c^2=5^2+8^2

c^2=25+16

c^2=41

c=√(41)

c=6.40 to two decimal places.

In a right triangle the two acute angles add up to 90 degrees.

$\angle B+58\degree=90\degree$

$\implies \angle B=90\degree-58\degree$

$\implies \angle B=32\degree$