Question

Image Long Description
Given is the right triangle
with altitude
. Apply the Pythagorean Theorem and similar trianglesas needed to find the length of
. Round the answer to two decimal places.
(1 point)
ABC CD
¯A¯¯¯¯D¯¯¯
2.25
3.75
5
7

Answer 1

I’m missing the diagram layout — could you upload the image or say which points each number labels (which side(s) are 2.25, 3.75, 5, 7)? For example: is the right angle at B, is D the foot of the altitude from B onto hypotenuse AC, and which segments correspond to 2.25, 3.75, 5, 7?

If you meant the common configuration where the altitude from the right angle splits the hypotenuse AC into segments AD = 2.25 and DC = 3.75, then AC = AD + DC = 6 and the standard geometric-mean relations give
- AB = sqrt(AD·AC) = sqrt(2.25·6) = sqrt(13.5) ≈ 3.67,
- BC = sqrt(DC·AC) = sqrt(3.75·6) = sqrt(22.5) ≈ 4.74,
- altitude BD = sqrt(AD·DC) = sqrt(2.25·3.75) ≈ 2.90.

If that’s not the picture, please clarify which lengths label which segments and I’ll finish the calculation.