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Question
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
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Solution
ABC is the Δ in which BC = 4.8 m
AC = 6.4m and AD = 6 m
∴ area of ΔABC = `1/2 "BC" xx "AD"`
= `1/2 xx 4.8 xx 6`
= 14.4 m2
BE is height of Δ corresponding to 6.4 m
∴ `1/2 "AC" xx "BE" = 14.4`
`1/2 xx 6.4 xx "BE" = 14.4`
BE = `(14.4 xx 2)/6.4`
BE = `14.4/3.2`
= `9/2` = 4.5 m
Hence (i) 14.4 m2 (ii) 4.5 m
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