Question 924872: The height of a triangle is 11 inches less than its base. The area of the triangle is 138 square inches. Find the dimensions of the triangle
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = height
y = base
---
a = xy/2
---
x = y - 11
---
138 = (y - 11)b/2
138*2 = yy - 11y
yy - 11y - 138*2 = 0
yy - 11y - 276 = 0
---
the above quadratic equation is in standard form, with a=1, b=-11, and c=-276
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -11 -276
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
y = 23
y = -12
---
the negative root doesn't fit the problem statement, so use the positive root:
---
answer:
y = base = 23 inches
x = height = 12 inches
---
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
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
|
|
|
