Qstnid -A-5- The Base And The Height Of A Triangle Are In The Ratio 4 : 5. If The Area Of The Triangle Is 40 M2; Find Its Base And Height. - 20: Area Of Trapezium And A Polygon Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

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#5
The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m2; find its base and height.
Ans : Let base of ∆ = 4x m
and height of ∆ = 5x m
area of ∆ = 40 m²
∵ ½ × base × height = area of ∆
⇒ ½ × 4x × 5x = 40
⇒ 10x² = 40
⇒ x² = 4
⇒ x = √4
⇒ x = 2
∴ base = 4x = 4 × 2 = 8 m
Height = 5x = 5 × 2 = 10m
∴ 8 m; 10 m