7 3 Use Similar Right Triangles – Section: How can you find the length of the altitude to the hypotenuse of a Essential Question right triangle? Warm Up: Key Vocab: For two positive numbers & the positive number that satisfiesSo, a b, x and . Geometric Mean Example: Theorems: If Then the altitude is drawn to the the two triangles formed are hypotenuse of a right similar to the original triangle, triangle and to each other. Geometric Mean (Altitude) Theorem If Then the altitude is drawn to the hypotenuse of a The length of the altitude is the geometric right triangle, mean of the lengths of the two segments of the hypotenuse.
Section: 7 – 3 Use Similar Right Triangles Essential Question How can you find the length of the altitude to the hypotenuse of a right triangle? Warm Up: Key Vocab: Geometric Mean For two positive numbers a & b, the positive number x that satisfiesSo, and . Example: Theorems: If the altitude is drawn to the hypotenuse of a right triangle, Then the two triangles formed are similar to the original triangle and to each other. Geometric Mean (Altitude) Theorem If the altitude is drawn to the hypotenuse of a right triangle, Then The length of the altitude is the geometric mean of the lengths of the two segments of the hypotenuse.
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