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if these two shapes are similar, what is the measure of the missing len…

Question

if these two shapes are similar, what is the measure of the missing length t? 1 in 4 in 2 in t t = inches

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of corresponding sides are equal. Let the ratio of the shorter - sides be equal to the ratio of the longer - sides. So, $\frac{1}{2}=\frac{4}{t}$.

Step2: Cross - multiply

Cross - multiplying gives us $1\times t = 2\times4$.

Step3: Solve for t

$t = 8$.

Answer:

8