posted by Ashley .
in triaangle ABC, AB=20 cm, AC=15 cm the length of the altitude AN is 12 cm prove that ABC is a right triangle
so far i got that angle ANC is 90 degrees by definition on altitude i got really confused after so can you show me how to answer the question and the soulotion please.
I will assume that N is on BC.
So you have two right-angled triangles, BNA and CNA.
In BNA, BN^2 = 20^2 - 12^2 , so
BN = 16
in CNA, CN^2 = 15^2 - 12^2
CN = 9
so BC = 25 , and
25^2 = 20^2 + 15^2
so by Pythagoras, we have right angle at A