Question

PQR is an isosceles triangle with sides PQ = PR = 45 cm and QR = 72 cm. PN is a median to base QR. What will be the length (in cm) of PN?

• A. 36
• B. 24
• C. 27
• D. 32

Answer 1

Answer:

C. 27

In an isosceles triangle PN is perpendicular to QR From Pythagoras theorem PQ² = PN² + QN² QN = NR = QR/2 = 72/2 = 36 PN² = 45² - 36² = 729 PN = 27 cm