Question

14. In the given figure, \(\triangle\) ABC and \(\triangle\) AMP are right angled at B and M respectively. Given AC = 10 cm, AP = 15 cm and PM = 12 cm. (i) Prove that : \(\triangle\) ABC ~ \(\triangle\) AMP (ii) Find : AB and BC. [2012]

          14. In the given figure,
\(\triangle\) ABC and \(\triangle\) AMP are
right angled at B and M
respectively.
Given AC = 10 cm, AP
= 15 cm and PM = 12 cm.
(i) Prove that : \(\triangle\) ABC ~ \(\triangle\) AMP
(ii) Find : AB and BC.
[2012]

14. In the given figure,
ABC and AMP are
right angled at B and M
respectively.
Given AC = 10 cm, AP
= 15 cm and PM = 12 cm.
(i) Prove that : ABC AMP
(ii) Find : AB and BC.
[2012]

Added by Austin C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Federico Castro

Step 1

Step 1: Given that triangle ABC and triangle AMP are right angled at B and M respectively, we can conclude that angle ABC = angle AMP = 90 degrees. Show more…

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In the given figure, triangle ABC and triangle AMP are right angled at B and M respectively. Given AC = 10 cm, AP = 7 cm, and PM = 12 cm. Prove that triangle ABC is congruent to triangle AMP. Find AB and BC.