A community for students.
Here's the question you clicked on:
 0 viewing
Danman325
 4 years ago
Two similar right triangles have areas of 6 square inches and
150 square inches. The length of the hypotenuse of the smaller
triangle is 5 inches. What is the sum of the lengths of the legs
of the larger triangle?
Danman325
 4 years ago
Two similar right triangles have areas of 6 square inches and 150 square inches. The length of the hypotenuse of the smaller triangle is 5 inches. What is the sum of the lengths of the legs of the larger triangle?

This Question is Closed

moneybird
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1326569756783:dw

moneybird
 4 years ago
Best ResponseYou've already chosen the best response.1ab/2 = 6 ab = 12 b = 12/a ed/2 = 150 ed = 300 d = 300/e \[\frac{a}{b} = \frac{e}{d} \implies \frac{a^2}{12}=\frac{e^2}{300} \implies \frac{a}{e}=\frac{1}{5}\]

moneybird
 4 years ago
Best ResponseYou've already chosen the best response.1c = 5 a^2 + b^2 = 5^2 a^2 + (12/a)^2 = 25 a^2 + 144/a^2 = 25 a^4 + 144 = 25a^2 a^4  25a^2 + 144 = 0 a = 3 or a = 4 if a = 3, then b = 4 so e = 5 * 3 = 15 d = 4 * 5 = 20 f = 5*5 = 25 15 + 20 + 25 = 60

moneybird
 4 years ago
Best ResponseYou've already chosen the best response.1There are probably a shorter way to do it

Danman325
 4 years ago
Best ResponseYou've already chosen the best response.0The answer key says 35

moneybird
 4 years ago
Best ResponseYou've already chosen the best response.1it says legs so it shouldn't include 25 15 + 20 = 35
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.