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
Colt1911 [192]
3 years ago
6

The shortest leg of a triangle is 1 feet shorter than the other leg.The hypotenuse of this triangle is 5 feet. what are the leng

ths of the two legs of this triangle?
The shortest leg is_____ ft long


The other leg is ________ft long
Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

  • shortest: 3 ft
  • other: 4 ft

Step-by-step explanation:

The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.

__

<em>Alternate solution</em>

If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...

  5^2 = (x)^2 +(x -1)^2

  25 = 2x^2 -2x +1

  12 = x^2 -x = x(x -1)

Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4

The "other" leg is 4 ft; the shortest leg is 3 ft.

GuDViN [60]3 years ago
4 0

Answer:

3 ft, 4 ft

Step-by-step explanation:

Represent the length of the shortest leg using x.  Then the other leg length is x + 1.  Applying the Pythagorean Theorem,

x^2 + (x + 1)^2 = 5^2, or

x^2 + x^2 + 2x + 1 = 25, or

2x^2 + 2x - 24 = 0.

Reducing this, we get x^2 + x - 12 = 0, or (x + 4)(x - 3) =0.

Solving for x:  x + 4 = 0 => x = -4; also x - 3 = 0 => x = 3

Since we're measuring length, let's omit x = -4 and focus on x = 3.

Shortest leg is 3 ft long; other leg length is 3 + 1 ft, or 4 ft, long.

You might be interested in
I need some help and can you please show your work? Thank you have a good day
Colt1911 [192]

Answer:

Step-by-step explanation:(4+7)-(1)

4 0
3 years ago
4/5 of a number is more than 3/4 of the number by 5.find the numbers
Nastasia [14]
4/5 of x -3/4 of x =5
solution by LCM

16x-15x/20 =5
x/20 =5
x=100
<span>answer 100</span>
8 0
3 years ago
Ryan estimates the measurements of the volume of a container to be 36 cubic inches. the original volume of the popcorn container
PolarNik [594]

Answer:

  • difference: -4 cubic inches
  • % change: -10%

Step-by-step explanation:

The difference between the new volume and the original volume is ...

  (new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

__

The percentage change is figured with respect to the original volume:

  % change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

  = -1/10 × 100% = -10%

4 0
3 years ago
Find the interquartile range (IQR) of the data in the dot plot below. 0,1,1,3,3,3,4,5,7
Marizza181 [45]

Answer: the IQR is 3.5

Step-by-step explanation:

6 0
3 years ago
Whats 23,982 rounded to the nearest thousand <br><br><br> I need help
enyata [817]

Answer:

24,000

Step-by-step explanation:

Plz give me brainliest it is definetely the right answer 100% sure thank u so much if you give me the brainleist I answered first.

5 0
3 years ago
Read 2 more answers
Other questions:
  • If 6 people in the United States each eat the average amount of popcorn for 5 years, how many quarts of popcorn will they eat.
    14·1 answer
  • A submarine's position is 600 feet below sea level. It descends 218 feet. What is the submarine's new elevation?
    12·2 answers
  • What is the image point of (6,1) after a translation left 5 units and down 1 unit?
    10·1 answer
  • Jimmy invests $4,000 in an account that pays 2% annual interest, compounded semi-annually. What is his balance, to the nearest c
    9·1 answer
  • A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?
    5·1 answer
  • during a recent regular season, a taxas ranger baseball player had 126 hits and was a bat 399 times. write a fraction in simples
    7·1 answer
  • 2(3x+6)=18 <br> what is the answer in linear equations?
    8·1 answer
  • Chandra uses 1/4 ounce of fish food to feed 5 goldfish. What is the unit rate in ounces of fish food per goldfish?
    8·1 answer
  • Help plssss I’m trying to finish this diagnostics test
    13·1 answer
  • What property of addition would 3,500+0=3,500 be
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!