Question

given PQR is similar to MAR with PQ = 12in, AR = 7.5in, QR = 10in. What other measurement(S) can you determine? Explain how you know. Determine the measurement(s)

Answer 1

By utilizing the property of similar triangles and proportions, we can determine that the side MA of triangle MAR that corresponds to side PQ of triangle PQR is 9 inches.

Step-by-step explanation:

The student asked which other measurements can be determined knowing that triangles PQR and MAR are similar, with PQ = 12 inches, AR = 7.5 inches, and QR = 10 inches. To determine the measurement(s), we will use the property that corresponding sides of similar triangles are proportional.

Let MA represent the side of triangle MAR that corresponds to PQ of triangle PQR. The proportional relationship between the sides of the triangles can be expressed as:

MA / PQ = AR / QR

Substituting the given measurements, we get:

MA / 12 = 7.5 / 10

From this, we can solve for MA:

MA = 12 * (7.5 / 10)

MA = 9 inches

Thus, by using the property of similar triangles and proportions, we can find the missing side length MA of triangle MAR, which is 9 inches.