In a right triangle whose area is 12,each leg is as long as the side of a certain square. What is the area of the square?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Drop a height directly through the middle of the triangle, intersecting the base at a 90 degree angle. We form two right triangles and can use the Pythagorean theorem to solve for the hypotenuse.
The Pythagorean theorem states that for any right triangle, the following is true:
, where
and
are two legs of the triangle and
is the hypotenuse.
Therefore, we have the following equation (using the graph to measure the length of the two legs):
The other "tilted" side must be the same length. The base of the triangle can be measured using the graph - 10 units.
Therefore, the perimeter is