The base and height of a triangle are increased by 30% of their initial length. By what percentage does the area of the triangle increase?

Question

The base and height of a triangle are increased by 30% of their initial length. By what percentage does the area of the triangle increase?

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Linh Đan 4 years 2021-09-03T22:18:11+00:00 2 Answers 23 views 0

Answers ( )

  1. Sapo1
    0
    2021-09-03T22:19:22+00:00
    Reply

    Step-by-step explanation:

    Area of a triangle is directly proportional to the base and height of the triangle.

    Let B and H be the original base and height of the triangle respectively.

    The new triangle has base 1.3B and height 1.3H

    Area of original triangle : Area of new triangle

    = 0.5BH : 0.5(1.3B)(1.3H)

    = 0.5BH : 0.5(1.69BH)

    = 1 : 1.69

    Hence, the new triangle is 69% larger than the original triangle.

  2. kimchi2
    0
    2021-09-03T22:20:08+00:00
    Reply

    the answer is 69% hope it helps

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