QuestionFind the missing side length of two similar triangles with sides 36, 36, 18 and 24, 48.
Studdy Solution
STEP 1
Assumptions1. The two triangles are similar.
. The side lengths of the first triangle are36,36,18.
3. The side lengths of the second triangle are24,48, and an unknown length.
STEP 2
Since the triangles are similar, the ratios of their corresponding sides are equal. We can set up the following proportion to find the unknown side length
STEP 3
We can choose any two corresponding sides to set up the proportion. Here, we choose the sides with lengths36 and24.
where x is the unknown side length.
STEP 4
Cross-multiply to solve for x.
STEP 5
Calculate the right side of the equation.
STEP 6
Divide both sides of the equation by36 to isolate x.
STEP 7
Calculate the value of x.
The length of the missing side is12.
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