The height of a triangle is 6 centimeters less than the base. the area of the triangle is 123.5 square centimeters. find the length of the base and the height of the triangle.

The length of base=19cm

The length of height=13cm

Given:

Area of the triangle A=123.5

Height of the triangle h=b-6

To find:

Length of the base

Length of the height

Step by Step Explanation:

Solution:

According to the formula, Area of the triangle

Where b=Base of the triangle

h=Height of the triangle

We know the value of A=123.5and also we know

h=b-6

Substitute these values in the above equation we get

123.5=

247=

The above equation is of the form

Compare the above two equations we get

A=1, B=-6, C=-247

38/2 OR -26/2

The value of b can't be negative so we take

b=38/2=19cm

Though we know that

h=b-6=19-6=13cm

Result:

Thus the length values of b and h are 19 and 13 cm respectively

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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step-by-step explanation: