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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. - Mathematics

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Sum

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

Concept: Perimeter of Triangles
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (A) | Q 2 | Page 223
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