If c is the measure of the hypotenuse, find each missing measure. Round to the nearest tenth if necessary. a=?,b=15,c=31
Note that the angle opposite to hypotenuse is always 90 degrees. Base on this, it indicates that a, b and c are the sides of a right triangle.
So to solve for a, apply the Pythagorean formula which is:
where c is the hypotenuse, and the legs of the right triangle are a and b.
Plug-in c=31 and b=15 to the formula.
Subtract both sides by 225.
And take the square root of both sides.
Since a represents the length of the triangle, take only the positive value.
Hence, `a = 27.1` .
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