glizzy9
glizzy9 glizzy9
  • 21-08-2019
  • Mathematics
contestada

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

For question 4 pls help me show work step by step class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 31-08-2019

Answer:

c=6.40 units

[tex]\implies \angle B=32\degree[/tex]

Step-by-step explanation:

The given triangle ABC is a right triangle;

According to the Pythagoras Theorem;

[tex]c^2=|AC|^2+|BC|^2[/tex]

We substitute AC=5 and BC=8

[tex]c^2=5^2+8^2[/tex]

[tex]c^2=25+16[/tex]

[tex]c^2=41[/tex]

[tex]c=\sqrt{41}[/tex]

c=6.40 to two decimal places.

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

[tex]\angle B+58\degree=90\degree[/tex]

[tex]\implies \angle B=90\degree-58\degree[/tex]

[tex]\implies \angle B=32\degree[/tex]

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