Question

Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 10m and diagonal QS = 12m. Find the length of segment RP. A.6m B.8m C.10m D.12m

Answer 1

8m

Explanation:

Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 10m and diagonal QS = 12m. Find the length of segment RP.

6m

8m

10m

12m

Odyssey

Answer 2

QP = 1/2 * QS = 6m

QR^2 = QP^2 + RP^2 ( By Pythagoras theorem).

10^2 = 6^2 + RP^2

RP = sqrt (100 - 36))

= 8 m answer