Question

Find the missing values:

Base	Height	Area of triangle
$15cm$		$87c{m}^2$
$31.4mm$		$1256m{m}^2$
$22cm$		$170.5c{m}^2$

Answer 1

Compute the height of the triangle.

(i) Given that

Base of triangle $=15cm$

Area of triangle $=87c{m}^2$

Since, Area of triangle $=\frac{1}{2}\times b\times h$. That is,

$87=\frac{1}{2}\times 15\times h$

$h=\frac{87\times 2}{15}$

$h=11.6cm$

(ii) Given that

Base of triangle $=31.4mm$

Area of triangle $=1256m{m}^2$

That is

$1256=\frac{1}{2}\times 31.4\times h$

$h=\frac{1256\times 2}{31.4}$

$h=80mm$

(iii) Given that

Base of triangle $=22cm$

Area of triangle $=170.5c{m}^2$

That is

$170.5=\frac{1}{2}\times 22\times h$

$h=\frac{170.5\times 2}{22}$

$h=15.5cm$

Hence the missing values are $11.6cm,80mm,$and $15.5cm$ respectively.