A triangle has lengths the ratio of 3 : 6 : 5. If the longest side is 30 cm, what is the length of the shortest side?
Question
A triangle has lengths the ratio of 3 : 6 : 5. If the longest side is 30 cm, what is the length of the shortest side?
Solution
The sides of the triangle are in the ratio 3:6:5. The longest side is 30 cm, which corresponds to the 6 part of the ratio.
Step 1: Determine the value of each part in the ratio. To do this, divide the length of the longest side by the corresponding part in the ratio.
30 cm ÷ 6 = 5 cm
So, each part in the ratio is equal to 5 cm.
Step 2: Find the length of the shortest side. The shortest side corresponds to the 3 part of the ratio.
3 parts × 5 cm/part = 15 cm
So, the length of the shortest side is 15 cm.
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