Question

Calculate the height of right angled triangle whose area is 80 cm² and base is 20 cm.

Answer 1

Answer:

area=1/2×base×height

80cm2 =1/2×20cm×height

80cm2=10×height

height =8cm

Answer 2

${\red{\underline{\underline{\bold{Given:-}}}}}$

• Area of triangle = 80 cm²
• Base of triangle = 20cm

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• Height of the triangle

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Area = 80 cm², Base = 20cm

Area of triangle =

$\frac{1}{2} \times base \times height \\ \\ \implies80 = \frac{1}{2} \times 20 \times h \\ \\ \implies \: h = \frac{80 \times 2}{20} \\ \\ \implies \: h \: = \frac{160}{20} = 80cm$

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Formula used here:-

• Area of triangle = $\frac{1}{2} \times base \times height$

• Height of triangle = $\frac{Area \times 2}{base}$

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${\pink{\underline{\underline{\bold{Additional\:Information:-}}}}}$

If area and height of a triangle are given the formula to find base

• $\frac{Area\times 2}{height}$

The perimeter of triangle = sum of all its sides