Final answer:
To find a triangle similar to triangle QRS, we need to find another set of measurements with the same ratios as the sides of QRS. The dimensions 10cm, 20cm, and 25cm represent a triangle that is similar to triangle QRS.
Step-by-step explanation:
To determine the dimensions of a triangle that is similar to triangle QRS, we need to find a set of measurements that have the same ratios as the sides of triangle QRS. Triangle similarity is determined by the ratios of corresponding sides. Given the dimensions of triangle QRS, we can calculate the side ratios and look for another set of measurements that have the same ratios.
The dimensions of triangle QRS are as follows: QR = 8cm, RS = 14cm, and SQ = 17cm.
Let's calculate the ratios:
QR/RS = 8/14 = 4/7
RS/SQ = 14/17
From the given options, the dimensions in centimeters that represent the dimensions of a triangle similar to triangle QRS are B) 10cm, 20cm, 25cm. Let's check if the ratios match:
10/20 = 1/2 and 20/25 = 4/5
These ratios are the same as the ratios of QR/RS and RS/SQ in triangle QRS, so the dimensions 10cm, 20cm, and 25cm represent a triangle that is similar to triangle QRS.