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Find the missing values:
BaseHeightArea 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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Updated on 10-Oct-2022 13:35:54

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