Question

If the ratio of the corresponding bases of triangles with equal heights is 2:3, then the ratio of their areas will be _____________.​

Answer 1

Answer:

2:3

Step-by-step explanation:

RATIO OF BASES = 2:3, LET THEM BE 2X AND 3X.

HEIGHTS ARE OF EQUAL LENGTH, LET THEM BE H.

AREA OF TRIANGLE WITH BASE 2X = 1/2 × B × H = 1/2 × 2X × H = XH

AREA OF TRIANGLE WITH BASE 3X = 1/2 × B × H = 1/2 × 3X × H = (3/2)XH

=> RATIO OF AREAS = XH/(3/2)XH = 2/3

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