The hypotenuse of a right isoscejson triangle can be found using the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse of the original triangle would be √(13.2^2 + 13.2^2) = √(174.24 + 174.24) = √348.48 ≈ 18.65 meters.
Since the triangles are similar, the ratio of corresponding sides will be the same. Therefore, the ratio of the lengths of the hypotenuses of the two triangles will be the same as the ratio of the lengths of the legs. This means that the hypotenuse of the similar triangle with legs 4.4 meters in length will be 4.4 * (18.65/13.2) = 4.4 * 1.4129 ≈ 6.22 meters.
Therefore, the hypotenuse of the similar triangle with legs 4.4 meters in length is approximately 6.22 meters.
Sides of Similar Figures Practice
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Question
A right isosceles triangle has side lengths of 13.2, 13.2, and 18.6 meters. What is the hypotenuse of a similar triangle with legs 4.4 meters in length?(1 point)
meters
1 answer
1 answer