Question

Find the missing values:

Answer 1

As we know that the area of triangle =$\frac{1}{2}\times \text{Base}\times \text{Height}$

(a) Given: Base b = 15 cm

Height, h = ?

Area =$87c{m}^2=\frac{1}{2}\times \text{Base}\times \text{Height}$
$\Rightarrow 87=\frac{1}{2}\times 15\times h$
$\Rightarrow h=\frac{87\times 2}{15}$
$\therefore h=11.6cm$

Therefore, the height of such triangle is 11.6 cm.

(b) b = ?

h = 31.4 mm
Area =$1256m{m}^2=\frac{1}{2}\times \text{Base}\times \text{Height}$

$\Rightarrow 1256=\frac{1}{2}\times b\times 31.4$

$\Rightarrow b=\frac{1256\times 2}{31.4}$

$\therefore b=80mm$

Therefore, the base of such triangle is 80 mm.

(c) b = 22 cm

h = ?

Area =$170.5c{m}^2=\frac{1}{2}\times \text{Base}\times \text{Height}$

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

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

$\therefore h=15.5cm$

Therefore, the height of such triangle is 15.5 cm.