Triangle A has sides of lengths #18 #, #12 #, and #12 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?
1 Answer
Jul 22, 2017
See explanation.
Explanation:
There are 2 possible solutions:
Both triangles are isosceles.
Solution 1
The base of the larger triangle is
The scale of similarity would then be:
If the scale is
This means that the triangle's sides are:
Solution 2
The equal sides of the larger triangle are
This implies that the scale is:
So the base is
The triangle's sides are then: