The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle?

Respuesta :

height = 5+2xbase

74 = 5+2xbase
subtract 5 from both sides 

69 = 2xbase
divide both sides by 2

34.5mm = base length

The base length of the triangle is 34.5 mm having a height of 74 mm.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the height of a triangle is 5 more than double the base length.

The height of the triangle h = 74 mm

Let's suppose the base length is b mm

Then,

h = 5 + 2b

74 = 5 + 2b   (h = 74 mm)

The above equation is a linear equation with one variable.

74 - 5 = 2b    (subtract by 5 on both sides)

69 = 2b

69/2 = b        (divide by 2 on both sides)

b = 34.5 mm

Thus, the base length of the triangle is 34.5 mm having height of 74 mm.

Learn more about the linear equation.

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