An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan, but there is an error in the dimensions:

Two similar scalene triangles PQR and ABC with angle P congruent to angle A, angle Q congruent to angle B, and QR and BC as the

Which of the following changes should she make to the length of side RQ to correct her error? (6 points)

Group of answer choices

Change the length of side RQ to 9 feet

Change the length of side RQ to 10.5 feet

Change the length of side RQ to 8 feet

Change the length of side RQ to 11.5 feet

Respuesta :

The change that she can make in order to correct her error is Change the length of side RQ to 10.5 feet.

How the architect can correct the error

pq/ab = 6/4

= 1.5

rq/cb = 9.5/7

= 1.357

Let the new dimension be put as x

1.5 = x/7

such that x = 1.5 x 7

= 10.5

Hence the changes that she has to make in order to correct this would be to change RQ to 10.5cm

Complete question

An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan, but there is an error in the dimensions:

Two similar scalene triangles PQR and ABC with angle P congruent to angle A, angle Q congruent to angle B, and QR and BC as the bases of the triangles. The length of PQ is 6 feet, the length of QR is 9.5 feet, and the length of RP is 7.5 feet. The length of AB is 4 feet, the length of BC is 7 feet, and the length of CA is 5 feet.

Which of the following changes should she make to the length of side RQ to correct her error?

Change the length of side RQ to 9 feet

Change the length of side RQ to 10.5 feet

Change the length of side RQ to 8 feet

Change the length of side RQ to 11.5 feet

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