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Find the missing side​

Find the missing side​-example-1
User Marcgg
by
7.8k points

2 Answers

5 votes

Answer:

72

Explanation:

User Hossam Khamis
by
8.0k points
4 votes

Answer:

72 units

Explanation:

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


a^2+b^2=c^2

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


30^2+b^2=78^2\\900+b^2=6084

Subtract 900 from both sides


900+b^2-900=6084-900\\b^2=5184

Take the square root of both sides


900+b^2-900=6084-900\\√(b^2) =√(5184)\\b=72

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

I hope this helps!

User Amo
by
8.4k points

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