Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, an
Practice Questions
Q1
Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the length of the corresponding side in the second triangle if its longest side is 10 cm?
6 cm
8 cm
10 cm
12 cm
Questions & Step-by-Step Solutions
Two triangles are similar. If the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the length of the corresponding side in the second triangle if its longest side is 10 cm?
Step 1: Identify the sides of the first triangle. They are 3 cm, 4 cm, and 5 cm.
Step 2: Determine which side of the first triangle is the longest. The longest side is 5 cm.
Step 3: Identify the longest side of the second triangle, which is given as 10 cm.
Step 4: Calculate the ratio of the longest sides of the two triangles. The ratio is 10 cm (second triangle) divided by 5 cm (first triangle), which equals 2.
Step 5: Use the ratio to find the corresponding side in the second triangle. The corresponding side to 4 cm in the first triangle is calculated as 4 cm multiplied by the ratio of 2, which equals 8 cm.
