Question

the base and the height of a triangle are in ratio 8:5if the area of the triangle is 1280msq. find its base and the height ​

Answer 1

Solution :-

Ratio of base and height

→ 8:5

let the common divisor be "x"

→ Height = 5x

→ Base = 8x

Now as we know the area of triangle:-

→ 1/2 × base × height

→ 1280 = 1/2 × 8x × 5x

→ 1280 = 20x²

→ x² = 64

→ x = 8

Now

Base = 8x = 64

Height = 5x = 40

Answer 2

$\huge\underline\mathbb {SOLUTION:-}$

Answer:

• Height = 5x = 40
• Base = 8x = 64

Given:

• The base and the height of a triangle are in ratio 8:5.
• The area of the triangle is 1280m Sq.

Need To Find:

• The height = ?
• The base = ?

Explanation:

• Let the Height be 5x
• And, Base be 8x

$\underline \mathsf \orange {Formula \:used\: here\: for\: the\: area \:of\:triangle\: :-}$

• $\huge \mathsf \green {\frac{1}{2} \times b \times h}$

$\implies \mathsf {1280 = \frac{1}{2} \times 8x \times 5x}$

$\implies \mathsf { 1280 = 20x^2}$

$\implies \mathsf {x^2 = 64}$

$\implies \mathsf {x = 8}$

$\underline \mathsf \orange {Therefore \: :-}$

• Height = 5x = 40
• Base = 8x = 64

Additional Information:

$\underline \mathsf \pink {Here\: :-}$

• H is used for Height.
• B is used for Base.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$