subject
Mathematics, 09.05.2021 14:00 fhggggy5680

What is the height of this triangle? We have a triangle with sides 50, 70 and 80 and have drawn an altitude ('h') to side AB. We have segmented side AB into "x" and "80-x".
From the Pythagorean Theorem, we know that
h^2 = 50^2 - x^2 and that h^2 = 70^2 - (80 -x)^2
Both equations = h^2 so we can make a new equation
50^2 - x^2 = 70^2 - (80 -x)^2 which equals
2,500 -x^2 = 4,900 -6400 +160x -x^2
4,000 -x^2 = 160x -x^2
-2x^2 -160x +4,000 = 0

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 22:30
50 points~ ! i have to turn this in tomarrow
Answers: 2
question
Mathematics, 22.06.2019 02:00
What number gives you a irrational number when added to 2/5
Answers: 1
question
Mathematics, 22.06.2019 02:00
Acompany had forty one employees and ordered nine hundred eighty uniforms for them. if they wanted to give each employees the same number of uniforms, how many more uniforms should they order so they don't have any extra
Answers: 1
question
Mathematics, 22.06.2019 03:30
Solve the equation for y. -1 = 1/3y + 11. will give 5 stars if answered correctly!
Answers: 2
You know the right answer?
What is the height of this triangle? We have a triangle with sides 50, 70 and 80 and have drawn an...
Questions
question
Chemistry, 29.10.2020 21:10
question
Mathematics, 29.10.2020 21:10