Question

If PQR, VST with a scale factor of 2:5, find the value of x.

Answer 1

Answer: 11.2

Step-by-step explanatio

Answer 2

The value of x is 11.2 cm.

Step-by-step explanation:

The triangle PQR and VST are in the ratio of 2:5

That means the sides of the triangles are in the ratio of 2:5.

The similar sides are:

• QR, ST
• RP, TV
• PQ, VS

So, QR should be $\frac{2}{5}\times ST$

The length of the side ST is 28 cm.

So, the length of the side QR $= x$ $=\frac{2}{5}\times 28$$= \frac{56}{5} = 11.2 cm$

Hence, the value of x is 11.2 cm.