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Question
Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.
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Solution
BC = 6 cm
height AD = 4 cm
area of Δ = `1/2 "base" xx "height"`
= `1/2 xx "BC" xx "AD"`
= `1/2 xx 6 xx 4 = 12 "cm"^2`
Again area of Δ = `1/2 "AC" xx "BE"`
`12 = 1/2 xx 8 xx "BE"`
∴ BE = `(12 xx 2)/8`
BE = 3 cm
∴ (i) 12 cm2 (ii) 3 cm
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