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Find the missing values:
Base | Height | Area of Triangle |
$15\ cm$ | $87\ cm^2$ | |
$31.4\ mm$ | $1256\ mm^2$ | |
$22\ cm$ | $170.5\ cm^2$ |
$(a)$. Area of the triangle $= 87\ cm^2$
Base $= 15\ cm$
Area of a triangle $= \frac{1}{2}\times Base\times Height$
$87\ cm^2 = \frac{1}{2}\times 15\ cm\times Height$
Height $= \frac{87\ cm^2\times 2}{15\ cm}$
Height $= \frac{174\ cm^2}{15\ cm}$
Height $= 11.6\ cm$
$(b)$. Area of the triangle $= 1256\ mm^2$
Height $= 31.4\ mm$
Area of triangle $= \frac{1}{2}\times Base× Height$
$1256\ mm^2 = \frac{1}{2}\times Base\times 31.4\ mm$
Base $= \frac{(2\times 1256\ mm^2)}{31.4\ mm}$
Base $=\frac{2512\ mm^2}{31.4\ mm}$
Base $= 80\ mm$
$(c)$. Area of the triangle $= 170.5\ cm^2$
Base $= 22\ cm$
Area of triangle $= \frac{1}{2}\times Base× Height$
$170.5\ cm^2 = \frac{1}{2}\times 22\ cm\times Height$
Height $= \frac{(2\times 170.5\ cm^2)}{22\ cm}$
Height $= \frac{341\ cm^2}{22\ cm}$
Height $= 15.5\ cm$
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