In PQR triangle , PQ=PR=13. If the length of the altitude drawn from Q perpendicular to side PR is 12 what is the perimeter of PQR?
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Given Q is perpendicular to PR in PQR! Let's consider that altitude from Q intersects PR at S!
Then in QSP!
(PQ)² = (PS)² + (QS)²
=> PS = 5!
=> RS = 8!
In QSR
(QR)² = (QS)² + (SR)²
=> QR = 4√13
Perimeter = 13 + 13 + 4√13 = 26 + 4√13!
Hope it helps!
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