The ratio of the areas of two triangles A1: A2 is3:2. The corresponding bases are b1 and b2. Theheights of the triangles are equal. If b2 = 12 cm.Find b1.
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B1 = 18
Step-by-step explanation:
Area of triangle = 1/2 ( base) ( height )
A1 = 1/2 B1 × H1
A2 = 1/2 B2 × H2
The ratio bw areas is 3:2
Therefore
A1/A2 = 3:2
= 1/2 × B1 × H1 ÷ 1/2 × B2 × H2 = 3/2
Since the heights are equal, it gets cancelled along with the rest of like terms (1/2)
= B1 /B2 = 3/2
Substitute the value of B2
B1 / 12 = 3 / 2
B1 = 3/2 × 12
B1 = 3 × 6
B1 = 18
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