1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Feliz [49]
3 years ago
5

The longest side of the right triangle is 2 feet more than the middle side and the middle side is 1 foot less than twice the sho

rtest side. Find the length of the shortest side.
Mathematics
1 answer:
Ket [755]3 years ago
3 0
A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8
You might be interested in
What is the difference between 480 °C<br> – 60 °C
vazorg [7]

Answer:

540

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tomas buys a bag of 5 peaches for $3.55. Write and solve an equation to find how much money, m, Tomas paid for each peach
Orlov [11]

Answer:

Step-by-step explanation:

$3.55 ÷ 5 = .71 each peach

7 0
3 years ago
Mabel has read 3/4 of a book, or 390 pages. How many pages are in the entire book?
Arte-miy333 [17]
520 pages. 390 divided by 3 is 130. Take that times 4 and you get 520. To check it, I took 520 divided by four (or you can multiply by 1/4) and got 130. Hope it helps!
8 0
3 years ago
Do question 1 if have time go to question 2 plz show work thx
AleksandrR [38]
Hi
how are u in need points
5 0
3 years ago
45x + 10
igor_vitrenko [27]
D because when you distribute the 5 into both numbers your product becomes 45x + 10
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12?
    7·2 answers
  • Anika is hiking on a rectangular trail at the national Park. There are four resting spots along the corners of the trail. On the
    8·2 answers
  • Which table has a constant of proportionality less than 5?​
    6·1 answer
  • Zack's science teacher gave each student in his class 15.0 grams of an unknown substance to identify. Each student was required
    10·2 answers
  • What divided by 40.01 is close to 1
    6·2 answers
  • A TV has a listed price of $520,95 before tax. If the sales tax rate is 6.25%, find the total cost of the TV with sales tax incl
    14·1 answer
  • Need help on this asap actual explanation!
    7·1 answer
  • Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline
    11·1 answer
  • The triangle and rectangle have the same perimeter.find the value of x.
    14·1 answer
  • The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!