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alexandr1967 [171]
3 years ago
5

Find the value of a. Round to the nearest tenth, if necessary. 11 24 a​

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

21.3

Step-by-step explanation:

It's easier to see how to do this if you transfer the 11 to the bottom of the rectangle. The look at the left triangle. It has 3 sides.

24, 11, and a.

You should be able to find a using

a^2 + 11^2 = 24^2     Expand the squares

a^2 + 121 = 576         Subtract 121 from both sides

a^2 = 576 - 121

a^2 = 455                  Take the square root of both sides.

sqrt(a^2) = sqrt(455)

a = 21.33

or

a = 21.3

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