Question

hugh drew two similar triangles.

(image of two right triangles, first with vertical leg 2.7, horizontal leg 5.1; second with vertical leg x, horizontal leg 1.7)

which is the value of x in hughs drawing?

○ 0.7
○ 0.9
○ 1.2
○ 2.9

Explanation:

Step1: Use the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. So, we have the proportion \(\frac{2.7}{x}=\frac{5.1}{1.7}\).

Step2: Cross - multiply

Cross - multiplying gives \(5.1x = 2.7\times1.7\).

Step3: Calculate the right - hand side

\(2.7\times1.7 = 4.59\). So the equation becomes \(5.1x=4.59\).

Step4: Solve for \(x\)

Divide both sides by \(5.1\), \(x=\frac{4.59}{5.1}\).

Step5: Perform the division

\(x = 0.9\).

Answer:

0.9