SOLUTION: A right triangle and a square share a side. The hypotenuse of the triangle measures 10 cm. One base of the triangle measures 4 cm. Neither the known base nor the hypotenuse is the

Question 767524: A right triangle and a square share a side. The hypotenuse of the triangle measures 10 cm. One base of the triangle measures 4 cm. Neither the known base nor the hypotenuse is the side that is shared with the square. Find the area of the square.
Found 2 solutions by reviewermath, CountrySLP:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
A right triangle and a square share a side. The hypotenuse of the triangle measures 10 cm. One base of the triangle measures 4 cm. Neither the known base nor the hypotenuse is the side that is shared with the square. Find the area of the square.
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A:

Using Pythagorean Theorem:

= = .
The area of the square is
Answer by CountrySLP(2) (Show Source): You can put this solution on YOUR website!
Actually the answer would be (not ) See below:
The length of the third triangle side would be solved as follows:
, ie.

which will be slightly larger than 9
This makes sense, because 10, as the hypotenuse, would be the longest side.
Therefore, one side of the square would be .
Now, the area of the square would be computed as follows:

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