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In the figure below, line AB is parallel to the base of the triangle and creates a smaller triangle inside of the original triangle. If the lengths of segments are as shown and the smaller triangle has an area of 8 cm2, what is the area, in centimeters, of the original triangle?
  • a)
    16
  • b)
    24
  • c)
    32
  • d)
    64
  • e)
    128
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the figure below, line AB is parallel to the base of the tria...
Since the two lines are parallel, the two triangles are similar and share the same constant ratio. The smaller triangle has one side with a length of 4 cm, and the larger triangle has one side with a length of 4 + 12, or 16 cm. The legs of the triangles have a ratio of 4 : 16, which can be reduced to 1 : 4. The ratio of 1:4 also extends to the area of the triangles. You are given that the smaller triangle has an area of 8cm2. The larger triangle has an area that is 4 times larger, so the area of the larger triangle is 4 × 8 = 32 cm2.
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In the figure below, line AB is parallel to the base of the triangle and creates a smaller triangle inside of the original triangle. If the lengths of segments are as shown and the smaller triangle has an area of 8 cm2, what is the area, in centimeters, of the original triangle?a)16b)24c)32d)64e)128Correct answer is option 'C'. Can you explain this answer?
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In the figure below, line AB is parallel to the base of the triangle and creates a smaller triangle inside of the original triangle. If the lengths of segments are as shown and the smaller triangle has an area of 8 cm2, what is the area, in centimeters, of the original triangle?a)16b)24c)32d)64e)128Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In the figure below, line AB is parallel to the base of the triangle and creates a smaller triangle inside of the original triangle. If the lengths of segments are as shown and the smaller triangle has an area of 8 cm2, what is the area, in centimeters, of the original triangle?a)16b)24c)32d)64e)128Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure below, line AB is parallel to the base of the triangle and creates a smaller triangle inside of the original triangle. If the lengths of segments are as shown and the smaller triangle has an area of 8 cm2, what is the area, in centimeters, of the original triangle?a)16b)24c)32d)64e)128Correct answer is option 'C'. Can you explain this answer?.
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