Given: △ACM, m∠C=90°, CP ⊥ AM . b AC:CM=3:4, MP-AP=1. Find AM.

Question

Given: △ACM, m∠C=90°, 

CP

  ⊥ 

AM

 .

Chapter Reference

b

AC:CM=3:4, MP-AP=1. 

Find AM.

Please use geometry, and the answer isn't 5

Answer 1

AC/AP=MC/MP because they are corresponding parts of similar triangles

AC/MC=3/4=AP/MP

AP=(3/4)MP

(1/4)MP=1

MP=4

AP=3

AM=7

Answer 2

Consider these facts:

The three triangles are similar, therefore corresponding parts are in proportion. Here that is 3 : 4.

Each of the three triangle is a 3, 4, 5. triangle.

Using these two facts you can get to AM.