larryh558
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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.

Respuesta :

jcherry99
Short Answer RP = 8 meters.
Remark
A kite's diagonals bisect each other. (1/2) QS = QP. 
Another fact about a kite is that the diagonals meet at right angles. 
ΔQPR is a right triangle. 

Step One
Find QP
QP = 1/2 QS
QS = 12               Given
QP = 1/2 12
QP = 6

Step Two
Find RP
Use the Pythagorean Theorem To solve for RP

Givens
QP = 6        From Step 1
QR = 10     Given
QP = ??

We are dealing with a right angle triangle.
RP^2 + QP^2 = QR^2
RP^2 + 6^2 = 10^2
RP^2 + 36 = 100        Subtract 36 from both sides.
RP^2 = 100 - 36
RP^2 = 64                  Take the square root of both sides.
sqrt(RP^2) =sqrt(64)  
RP = 8 <<<<<<<< Answer
fredettemary88

Answer:

8m

Step-by-step 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

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