Elle114
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Triangle PQR and triangle XYZ are similar.
A)Work out the length of XZ.
B)Work out the length of QR.

Triangle PQR and triangle XYZ are similar AWork out the length of XZ BWork out the length of QR class=

Respuesta :

connorlubbers

Answer:

XZ = 16.25 and QR = 6.8

Step-by-step explanation:

This is seen in the relation of PQ and XY

I did 18 / 7.2 and got 2.5

6.5 times 2.5 = 16.25 which is the same comparison seen in the first sentence.

for QR, i did 17 / 2.5 because we needed to go lower and got 6.8.

mathstudent55

Answer:

XZ = 16.25 cm

QR = 6.8 cm

Step-by-step explanation:

The triangles are similar, and the following ratios of the lengths of corresponding sides are equal:

PQ/XY = PR/XZ = QR/YZ

The only pair of corresponding sides whose lengths we know is PQ and XY, so we must use it every time to establish a ratio. We will use PQ/XY both times below.

a)

PQ/XY = PR/XZ = QR/YZ

7.2/18 = 6.5/XZ

7.2(XZ) = 18 * 6.5

7.2(XZ) = 117

XZ = 16.25

Answer: XZ = 16.25 cm

b)

PQ/XY = PR/XZ = QR/YZ

7.2/18 = QR/17

18(QR) = 7.2 * 17

18(QR) = 122.4

QR = 6.8

Answer: QR = 6.8 cm

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