in triangle abc AN perpendicular to BC and BM perpendicular to AC if AC=8cm BC=7.5cm and AN=8cm find the length of BM
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Answer:
BM =
Step-by-step explanation:
In △ABC
AN = height = 8cm
BC = base = 7.5cm
Area of △ABC
= 1/2 x base x height
= 1/2x 7.5cm x 8cm
= 30.0 cm²
Now,
Area of the △ABC
is also = 1/2x BM x AC = 30cm²
= 1/2xBMx 8cm = 30cm²
= BM = 30cm²x2x1/8
= BM = 15/2cm = 7.5cm
∴Therefore Bm is equal to 7.5cm
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