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

For question 4 pls help me , show work step by step-example-1

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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

User Mirelon
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