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 18:40
Some boys and girls were asked if they had a pet. one third of the group were boys. there were 20 boys. 20% of the girls had a pet. boys with a pet : girls with a pet = 1 : 5 i need to know how many girls there are.
Answers: 3
question
Mathematics, 22.06.2019 02:00
Identify the percent of change as an increase or a decrease. 75 people to 25 people response - correct increase decrease question 2 find the percent of change. round to the nearest tenth of a percent.
Answers: 3
question
Mathematics, 22.06.2019 04:00
Which ordered pair makes both inequalities true? y< 3x-1 and y> -x+4 4,0 1,2 0,4 2,1
Answers: 3
question
Mathematics, 22.06.2019 04:00
Which function is shown on the graph?
Answers: 1
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
Mathematics, 18.10.2021 01:50
question
Biology, 18.10.2021 01:50
question
Mathematics, 18.10.2021 01:50
question
Mathematics, 18.10.2021 01:50
question
Mathematics, 18.10.2021 01:50
question
Mathematics, 18.10.2021 02:00
Questions on the website: 13722367