Sketch the following to 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

B. 8m

Step-by-step explanation:

Given:

The figure is a kite having points QRST.

It has short diagonal QS.

Long diagonal RT

Diagonal Intersect at point P.

side QR = 10m

Diagonal QS = 12m

We need to find the length of segment RP.

According Diagonal Property of kite.

It states that Diagonals of Kite perpendicularly bisects each other.

QP = PS

RP = PT

But QS = QP + PS

QS = QP + QP

QS = 2 QP

QP = QS =

Now In Δ QPR

m∠ P = 90° (Diagonals of a kite is perpendicular to each other)

Now by Pythagoras theorem;

Hence the Length of segment RP is 8m.

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step-by-step explanation: