A triangle has side lengths 10 in., 15 in., and 18 in. The longest side of a similar triangle is 54 in. What is the length of the shortest side of the similar triangle?
2.If A:B = C:D then BC = AD what is BC and AD means
warning
nonsense the answer will be reported
2.If A:B = C:D then BC = AD what is BC and AD means
warning
nonsense the answer will be reported
Answers & Comments
Verified answer
Step-by-step explanation:
1. Let x be the length of the shortest side of the similar triangle. Since the two triangles are similar, their corresponding sides are proportional, so:
10/54 = 15/x = 18/y
Solving for y in the last equation, we get:
y = (18x)/15 = 6x/5
We want to find x, so we can eliminate y by using the first and third equations:
10/54 = 15/x
18/54 = 6x/5x
Simplifying and solving for x, we get:
x = (10/54) * 15 = 2.778 inches
Therefore, the length of the shortest side of the similar triangle is approximately 2.778 inches.
2. AD and BC are the corresponding segments of the two pairs of proportional sides in the ratio equality A:B = C:D. In other words, if we write A/B = C/D as a ratio fraction, we have:
A/B = C/D
AD/BD = BC/BD
AD = BC
So AD and BC are equal in length.