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Back to Use congruence and similarity to solve — Problem 3 · Task Set 18

Exercises: Apply Similarity and Congruence to Solve Problems

Work through each section in order. For proof problems, state the criterion used (SSS, SAS, ASA, AAS, AA, SAS~, SSS~) and identify CPCTC steps explicitly. Show all work for computation problems.

Grade 9·22 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-srt-b-5
Work through problems with immediate feedback
A

Fluency Practice

Apply congruence or similarity criteria directly. State the criterion used.

Right triangle ABC with altitude CH to hypotenuse AB. AH = 4, HB = 9, CH = ?
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In right triangle ABCABC with the right angle at CC, the altitude from CC to hypotenuse AB‾\overline{AB} meets AB‾\overline{AB} at point HH. If AH=4AH = 4 and HB=9HB = 9, find the length of altitude CHCH.