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.

Answer 1

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