A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
The base of a triangle exceeds its height by 17 inches. If its area is 55 square inches, find the base
and height of the triangle.
anonymous
 4 years ago
The base of a triangle exceeds its height by 17 inches. If its area is 55 square inches, find the base and height of the triangle.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I thought I should set up the problem this way: 55 = 1/2(h+h+17)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But then I got the wrong answer, as usual

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1let h = height, then let b = base = h + 17 Area of triangle: A = (bh)/2 55 = (h + 17)h/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Right, exactly..so 55 = 2h+17/2, and thus h+17/2 = 55. Then, 55*2 = h+17

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1Your're close, but the formula for the area of a triangle is the base times the height over 2, not the base plus the height over 2.

helder_edwin
 4 years ago
Best ResponseYou've already chosen the best response.0right \[ \large 55=\frac{(h+17)\cdot h}{2} \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Um...but I already multiplied the b by the h. It's just that here, b = h + 17

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1it's not (2h + 17)/2 = 55, it's (h^2 + 17h)/2 = 55

helder_edwin
 4 years ago
Best ResponseYou've already chosen the best response.0use the distributive law on the denominator

helder_edwin
 4 years ago
Best ResponseYou've already chosen the best response.0\[ \large 55=\frac{h^2+17h}{2} \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay. So you end up with h^2 + 17h = 110

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1Right. Now subtract the 110 to the left and solve the quadratic eq.

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1Set it equal to zero and solve.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0(x+22)(x5) = 0, x = 22, 5

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Sorry...I meant h. So h = 5, and then b = (5) + 17 = 22

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you for all your help!!

mathstudent55
 4 years ago
Best ResponseYou've already chosen the best response.1Not x, but h. Now you have h = 22 or h = 5. A negative number is meaningless as the height of a triangle, so dicard it. yes, you got it.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.