Quantitative - Mathematics - Solid Geometry:

Trigonometry

MCQ - 117-11969

Question:

If a 3−4−5 right triangle is similar to a 6−8−10 right triangle, which of the other triangles must also be a similar triangle?

4−5−6
$\frac{1}{3} - \frac{1}{4} - \frac{1}{5}$
$\frac{1}{6} - \frac{1}{8} - \frac{1}{10}$
$\frac{1}{3} - \frac{1}{4} - \frac{1}{5}$
12−16−20

Correct Answer: E

Explanation:

For the triangles to be similar, the dimensions of all sides must have the same ratio by dividing the 3-4-5 triangle.

The 6-8-10 triangle will have a scale factor of 2 since all dimensions are doubled the original 3-4-5 triangle.

The only correct answer that will yield similar ratios is the 12−16−20 triangle with a scale factor of 4 from the 3-4-5 triangle.

The other answers will yield different ratios.

Previous Question

Next Question

Back to Section

Record Performance

131 MCQ for effective preparation of the test of Trigonometry of Solid Geometry section.

Read the MCQ statement: If a 3−4−5 right triangle is similar to a 6−8−10 right triangle, which of the other triangles must also be a similar triangle?, keenly and apply the method you have learn through the video lessons for Trigonometry to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 117-11969.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

Share This Page

Full Films

TV Serials

Short Films

Upcoming Films