The altitude of a right triangle: three similar triangles and the geometric mean

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Tala folds a paper right triangle from the square corner to the long edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CH, in inches?

   36
2. 2.

   Zee adds a support from the square corner of a ramp to its slope. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CH, in feet?

   10
3. 3.

   Ari plans a path from the square corner of a park to the far edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CH, in meters?

   12
4. 4.

   Bo props a pole from the square corner of a tent side to the slanted edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CD, in feet?

   15
5. 5.

   Esme folds a paper right triangle from the square corner to the long edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CD, in cm?

   60
6. 6.

   Jun cuts a triangle sandwich from the square corner to the long edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CD, in inches?

   8
7. 7.

   Kira adds a support from the square corner of a ramp to its slope. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is CD, in feet?

   12
8. 8.

   Luz adds a support from the square corner of a ramp to its slope. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is HF, in feet?

   9
9. 9.

   Milo glues a strip from the square corner of a triangle window to the long edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is HF, in inches?

   18
10. 10.

    Pia cuts a wedge of cheese from the square corner to the long edge. In right △DCF, the right angle is at C, and CH ⊥ DF. How long is HF, in inches?

    25