The altitude and base of triangle having area 600 square cm are in the ratio 25 :3 find the altitude and base
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Area of given triangle = 600cm²
Area of triangle =1/2×b×h. 600cm² = 1/2×25x × 3x
25x × 3x = 2 × 600
75x² = 2 × 600
x² = 1200/75
x² = 16
x. =√16
x. = 4cm
Thus
Base = 25x =25×4 =100cm
Height = 3x=3×4 =12cm
Area of triangle =1/2×b×h. 600cm² = 1/2×25x × 3x
25x × 3x = 2 × 600
75x² = 2 × 600
x² = 1200/75
x² = 16
x. =√16
x. = 4cm
Thus
Base = 25x =25×4 =100cm
Height = 3x=3×4 =12cm
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