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
ivann1987 [24]
3 years ago
12

One leg of a right triangle has a length of 7m. The other sides have lengths that are consecutive integers. Find these lengths.

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

24m and 25m.

Step-by-step explanation:

By Pythagoras Theorem:

h^2 = x^2 + 7 ^2       where h  is the hypotenuse and  x is the other leg.

But x and h are consecutive integers

so h = x + 1 and:

(x + 1)^2 = x^2 + 49

x^2  + 2x + 1 - x^2 = 49

2x + 1 = 49

2x = 48

x = 24

So the 2 lengths are 24 and 25.

You might be interested in
Which is NOT used to reach conclusion in a formal proof?
Sav [38]
The answer is Inductive Reasoning


3 0
2 years ago
x= infinity; 9x to the power of 3 + x to the power of 2 - 5 divided by 3x to the power of 4 + 4x to the power of 2
Delvig [45]

Answer:

here n Hope it helps. goodluck

5 0
2 years ago
A television weighs 7.4 kilograms how many grams does the television weigh
Pavlova-9 [17]
7400 grams is the answer.

6 0
3 years ago
Please help!!!!!!!!!!!!!!
Talja [164]

Answer:

6 and 4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A shopkeeper selling an article at a discount of 25% looses Rs.125.If he allows 10% discount he gains Rs 250.Find the marked pri
adell [148]

Answer:

i dont know

but try you will get the answer

8 0
3 years ago
Other questions:
  • What is the common ratio of the following sequence?<br>80, 20,5<br><br>A. -4<br>B. 1/4<br>C. 4​
    8·1 answer
  • Your heart beats 320 times in 5 minutes. What is your heart rate?
    12·2 answers
  • What is the distance between the points (2,5) and (5,7)?
    11·1 answer
  • Hi, I’m really struggling with this problem and would love some help!
    13·1 answer
  • Differentiate.<br><br> y = 4cot⁻¹ (4x²)
    6·1 answer
  • What is the LCM of 22 and 44?
    10·1 answer
  • Please help me experts answering these two questions!!!!​
    11·1 answer
  • GELPPPPPP
    8·1 answer
  • Sandy gets paid every Friday. How many paychecks will she get in the month of May
    11·2 answers
  • A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. el
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!