SOLUTION: PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS= 12 cm.Find the length of PR.

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Question 1075904: PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS= 12 cm.Find the length of PR.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if PQR is an isosceles triangle, the altitude divides PR into two segments of the equal length
take one segment, PR%2F2, altitude PS, and side QP and you have right angle triangle where QP is hypotenuse, PR%2F2 and altitude PS are legs
so,
QP%5E2=%28PR%2F2%29%5E2%2BPS%5E2...substitute QP=13cm and PS=12cm

%2813cm%29%5E2=%28PR%2F2%29%5E2%2B%2812cm%29%5E2
169cm%5E2=%28PR%2F2%29%5E2%2B144cm%5E2
%28PR%2F2%29%5E2=169cm%5E2-144cm%5E2
%28PR%2F2%29%5E2=25cm%5E2
%28PR%2F2%29=5cm
PR=5cm%2A2
PR=10cm

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS= 12 cm.Find the length of PR.
Draw the triangle.

You should get: highlight_green%28PR+=+4sqrt%2813%29%29