weatha97
Answered

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Find the missing side​

Find The Missing Side class=

Sagot :

Answer:

72

Step-by-step explanation:

theleangreenbean

Answer:

72 units

Step-by-step explanation:

The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle when a and b are the two legs and c is the hypotenuse (the longest side).

[tex]a^2+b^2=c^2[/tex]

In the diagram, 30 measures one of the legs and 78 measures the hypotenuse. Plug these in as a and c.

[tex]30^2+b^2=78^2\\900+b^2=6084[/tex]

Subtract 900 from both sides

[tex]900+b^2-900=6084-900\\b^2=5184[/tex]

Take the square root of both sides

[tex]900+b^2-900=6084-900\\\sqrt{b^2} =\sqrt{5184}\\b=72[/tex]

Therefore, the length of the missing side is 72 units.

I hope this helps!

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