Question

the ratio ofbase to the height of a triangle is 4:5. if its area is 640m^2 find the length of the base and height

Answer 1

Ratio of Base and Height of ∆le = 4:5

===> Base = 4x

===> Height = 5x

Area of a triangle = 640 sq.cm

$\frac{1}{2} \times b \times h = 640 \: \: {cm}^{2}$

$\frac{1}{2} \times 4x \times 5x = 640$

$\frac{1}{2} \times 20 {x}^{2} = 640$

$10 {x}^{2} = 640$

${x}^{2} = \frac{640}{10}$

${x}^{2} = 64$

$x = \sqrt{64} = = > 8cm$

So,

Base = 4x = 4(8) = 32 cm

Height = 5x = 5(8) = 40 cm