The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 6 = \( \frac{42}{2} \) = 21

You need to find the value of b so solve the first equation in terms of y:

-4b + y = -7
y = -7 + 4b

then substitute the result (-7 - -4b) into the second equation:

7b - 8(-7 + 4b) = 5
7b + (-8 x -7) + (-8 x 4b) = 5
7b + 56 - 32b = 5
7b - 32b = 5 - 56
-25b = -51
b = \( \frac{-51}{-25} \)
b = 2\(\frac{1}{25}\)

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² - 8c + 7 = 0
(c - 1)(c - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c - 7) must equal zero:

If (c - 1) = 0, c must equal 1
If (c - 7) = 0, c must equal 7

So the solution is that c = 1 or 7

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.