If triangle DEF is similar to triangle XYZ, and the sides of DEF are 4 cm, 6 cm,
Practice Questions
Q1
If triangle DEF is similar to triangle XYZ, and the sides of DEF are 4 cm, 6 cm, and 8 cm, what is the ratio of the sides of triangle XYZ if the shortest side is 2 cm?
1:2
2:3
1:3
2:4
Questions & Step-by-Step Solutions
If triangle DEF is similar to triangle XYZ, and the sides of DEF are 4 cm, 6 cm, and 8 cm, what is the ratio of the sides of triangle XYZ if the shortest side is 2 cm?
Step 1: Identify the sides of triangle DEF. They are 4 cm, 6 cm, and 8 cm.
Step 2: Determine the shortest side of triangle DEF, which is 4 cm.
Step 3: Identify the shortest side of triangle XYZ, which is given as 2 cm.
Step 4: Set up the ratio of the shortest sides of the triangles. This is 2 cm (XYZ) to 4 cm (DEF).
Step 5: Simplify the ratio 2:4 by dividing both numbers by 2. This gives you 1:2.
Step 6: Since the triangles are similar, the ratio of all corresponding sides will be the same. Therefore, the ratio of the sides of triangle XYZ to triangle DEF is 1:2.
Step 7: To find the ratios of the other sides of triangle XYZ, multiply the sides of DEF (6 cm and 8 cm) by 1/2. This gives you 3 cm (for 6 cm) and 4 cm (for 8 cm).
