Question

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

Answer 1

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`