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. Which set of triangles shows the similar triangles created by the altitude in the diagram?
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B)
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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. Which set of triangles shows the similar triangles created by the altitude in the diagram?
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To identify the set of triangles that shows the similar triangles created by the altitude in a right triangle, we can apply the properties of similar triangles.
When an altitude is drawn from the right angle to the hypotenuse of the right triangle, it creates two smaller triangles. Each of these triangles is similar to the original triangle because they share common angles. Specifically, the right angle is shared, and the angles adjacent to the hypotenuse in the original triangle correspond to the angles in the smaller triangles.
To answer your question accurately, you’ll need to refer to the provided diagram (which I can’t see) to identify the correct set of triangles. Look for the triangles that share angles with the original right triangle and satisfy the angle-angle (AA) criterion for similarity.
If you share more details about the sets of triangles in the diagram, I can help you analyze them further! Otherwise, you can check the answer with the properties of similar triangles.