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The area of a triangle is 80 in.2. the ratio of the length of its base to its height is 5 : 2. what are the base and height of the triangle? enter your answers in the boxes below.

Respuesta :

length is 20 base is 8
Riia

Let the length of base be 5x and length of height be 2x .

Now we use the formula of area of the triangle , which is

[tex] Area = \frac{1}{2} base* height [/tex]

Now we substitute the given values of base and height and the value of given area, we will get

[tex] 80 = \frac{1}{2}*5x*2x [/tex]

Multiply both sides by 2,

[tex] 160 = 10x^2 [/tex]

Divide both sides by 10,

[tex] x^2 = 16
[/tex]

Taking square root to both sides

[tex] x = 4 [/tex]

So base is

[tex] = 5*4 = 20 in [/tex]

And the height is

[tex] = 2*4 = 8 in [/tex]

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