Question

The area of a triangle is one half and the base times the height if the height of a triangle is 3 cm and the area is 36 square then what is 1/2 the length of the base of the triangle , Describe the above situation as linear equation , USB as a variable name to describe the length of the base of the triangle

Answer 1

Half the length of the base is 12 cm

Step-by-step explanation:

Assume that the length of the base of the triangle is b and that the height of the triangle is h

We are given that:

Area of triangle is half the base multiplied by the height of the triangle

This means that:

Area of triangle =
`(1)/(2)*base*height`

Now, we are given that:

Height of triangle = h = 3 cm

Area of triangle = 36 cm²

Substitute with these values in the above equation and solve for half the length of the base

This is done as follows:

`Area = (1)/(2) *base*height\\\\36 = (1)/(2)*b*3\\\\(1)/(2)b = (36)/(3)=12`

From the above, we can conclude that:

Half the length of the base of this triangle is 12 cm

Hope this helps :)