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Tamiku [17]
3 years ago
5

Find the value of x. Round the answer to the nearest tenth, if needed.

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
Let the other 2 unknown sides be y n z

look at the two smaller triangles inside

y^2 = 12^2 + x^2   and

z^2 = 21^2 + x^2

from the biggest triangle

(12+21)^2 = y^2 + z^2

substituting

(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)

33^2 = 12^2 + 21^2 + 2x^2

2x^2 = (33^2 - 12^2 - 21^2)/2 = 504

x^2 = 252

x = 15.9

ans is B
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