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Quantitative - Mathematics - Solid Geometry:

Basic Concepts of Geometry

MCQ - 85-11937

Question:

A right triangle is defined by the points (1, 1), (1, 5), and (4, 1). The triangle's sides are enlarged by a factor of 3 to form a new triangle. What is the area of the new triangle?

  1. 81 square units
  2. 54 square units
  3. 36 square units
  4. 54 square units
  5. None of the answers are correct

Correct Answer: B

Explanation:

The points define a 3-4-5 right triangle. Its area is A = 1/2bh = ½(3)(4) = 6. The scale factor (SF) of the new triangle is 3. The area of the new triangle is given by Anew = (SF)2 x (Aold) = 32 x 6 = 9 x 6 = 54 square units (since the units are not given in the original problem).

NOTE: For a volume problem: Vnew = (SF)3 x (Vold).

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

Read the MCQ statement: A right triangle is defined by the points (1, 1), (1, 5), and (4, 1). The triangle's sides are enlarged by a factor of 3 to form a new triangle. Wha .... of the new triangle?, keenly and apply the method you have learn through the video lessons for Basic Concepts of Geometry to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 85-11937.

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.

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