SOLUTION: The base of the triangle exceeds the height by 8 meters. If the area is 42 meters, find the length of the base and the height of the triangle.

Question 817863: The base of the triangle exceeds the height by 8 meters. If the area is 42 meters, find the length of the base and the height of the triangle.
Found 2 solutions by TimothyLamb, richwmiller:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b = h + 8
---
a = (1/2)bh
---
a = (1/2)bh
20 = (1/2)(h + 8)h
20 = (1/2)(hh + 8h)
(1/2)hh + 4h - 20 = 0
(1/2)h^2 + 4h - 20 = 0
---
the above quadratic equation is in standard form, with a=1/2, b=4, and c=-20
---
to solve the quadratic equation, plug this:
0.5 4 -20
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
h = 3.48331477
h = -11.4833148
---
the negative root doesn't make sense for a length, so use the positive root:
---
Answer:
b = 11.483 m
h = 3.483 m
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1/2 h*h=a
1/2b*h=42
b*h=84
b=h+8
h=38
and b =46

RELATED QUESTIONS
The base of a triangle exceeds the height by 5m, If the area is 42 square meters, find... (answered by Alan3354)
The base of a triangle exceeds the height by 4 meters. If the area is 126 square meters, (answered by fractalier)
The base of a triangle exceeds the height by 5m. If the area is 42 m2, find the length of (answered by poliphob3.14)
The base of a triangle exceeds the height by 8 feet. If the area is 42 square feet, find... (answered by ikleyn)
The height of a triangle is 2 meters longer than twice its base. Find the base and height (answered by checkley79)
The area of a triangle is 34 square meters. Find the base and height of the latter... (answered by scott8148)
the base of a triangle is 12 meters. It's area is 42 square meters. Find the height of... (answered by Alan3354)
The height of a triangle is 4 meters more than it's base. If the area of the triangle is... (answered by ben720)
please help me, Area of a triangle is 30 square meter. Find the base and altitude, if (answered by MathLover1)