Question

Triangle PQR and triangle XYZ are similar.

A)Work out the length of XZ.
B)Work out the length of QR.

Answer 1

XZ = 16.25 and QR = 6.8

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.

Answer 2

XZ = 16.25 cm

QR = 6.8 cm

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