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
LekaFEV [45]
3 years ago
10

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right angle. Yes. No.

Mathematics
2 answers:
enyata [817]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

3 , 4 & 5 are Pythagorean Triplet numbers. When lengths of a triangle's 3 sides are Pythagorean Triplet , the triangle is a right angled triangle.

The triangle will be a right angled triangle only when the hypotenuse will have length of 5 and other 2 sides will have length of either 3 or 4.

Nana76 [90]3 years ago
3 0

Answer:

\boxed {\boxed {\sf Yes, \ the \ side \ lengths \ 3, \ 4, \ and \  5\ can \  make \   a \ right \ triangle}}

Step-by-step explanation:

If the triangle is a right triangle, then the sides will check out in the <u>Pythagorean Theorem. </u>

a^2+b^2=c^2

Where <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

1. Define Sides

The legs are the 2 shorter sides and the hypotenuse is the longest.

The sides given are 3, 4 (shorter), and 5 (longest). Therefore:

a=3 \\b=4 \\c=5

2. Check the Sides in the Theorem

Substitute the values into the theorem.

(3)^2+(4)^2=(5)^2

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.

Solve all of the exponents first.

  • (3)² = 3*3= 9
  • (4)²= 4*4= 16

9+16=(5)^2

  • (5)²= 5*5= 25

9+16=25

Add the numbers on the left side of the equation.

25=25

This is <u>true.</u> 25 is equal to 25, so this triangle <u>can be a right triangle.</u>

You might be interested in
Consider the following hypothesis test: H 0: 20 H a: &lt; 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
3 years ago
Can someone help if you can’t tell I suck at math?
Ad libitum [116K]

Answer:

Step-by-step explanation:

1. There will be 9 roses in total.  

Probability Orange: 2/9

Probability Yellow: 3/9 = ⅓  

Probability Pink: 4/9

2. 4/7 as there are 7 bowls in total and 4 are chocolate.  

3. 4/10 = ⅖ (simplified) There are 10 fruits in total and 4 are apples.  

4. 5/15 = ⅓ (simplified) There are 15 cars in total and 5 or them are cooper minis.

5. 2/6 = ⅓ (simplified) There are 6 textbooks and 2 of  them are math.  

6. 13/20 There are 20 drinks and 13 of them are lemonade.  

7. There are 10 toys in total.  

Probability toy cars: 3/10

Probability dolls: 2/10 = ⅕ (simplified)  

Probability balls: 5/10 = ½ (simplified)  

8. In total the number of red roses and lilies are 7. There are 10 flowers in total so the number of jasmines are 3. Therefore the probability of getting a jasmine is 3/10  

9. 20/50 = ⅖ (simplified) There are 50 papers in total and 20 of them are yellow.  

10. 8/18 = 4/9 (simplified) There are 18 buses and 8 of them are air conditioned.  

8 0
2 years ago
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
Ratling [72]

Answer:

8. -385°, 335°

9. -30°, 330°

Step-by-step explanation:

8. θ = -25°

-25-360 = -385°

-25+360 = 335°

9. θ = -390°

-390+360 = -30°

-30+360 = 330°

8 0
3 years ago
What is the mean (average) of the following data set? 3, 5, 7, 8, 9, 4, 2, 1, 3, 8 *
Lilit [14]

Answer:

5

Step-by-step explanation:

3+5+7+8+9+4+2+1+3+8=50

50/10=5

8 0
3 years ago
How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if th
notsponge [240]

The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.

The mark up percentage is given by:

Mark up percentage = (selling price - cost price)/cost price

Since the original price is $1500, hence:

30% = (selling price - 1500)/1500

0.3 = (selling price - 1500)/1500

(selling price - 1500) = 450

Selling price = $1950

It was again sold at a discount of 20%:

Final selling price= 1950 - 20% of 1950 = 1560

Profit = 1560 - 1500 = $60

Hence $60 profit was made by the store for the sale of a flat screen TV.

Find out more at: brainly.com/question/15699405

7 0
2 years ago
Other questions:
  • What is the solution to the equation –13+x = –4?<br> a. –17<br> b. 9<br> c. –9<br> d. 17
    7·1 answer
  • What are they?! Plz help!!!
    8·1 answer
  • plz hurry 82 points help plzThe rental rate for a power washer has a one time fee of $50 plus $25 for each day of the rental. Th
    6·2 answers
  • Solve x divided by four equals eight . (1 point)<br><br><br> 4<br> −4<br> 32<br> −32
    10·2 answers
  • Bridget reads 5 pages of her book per day 4 days per week for several weeks.
    8·1 answer
  • Suppose the radius of a circle is 2 units. What is its circumference?
    14·2 answers
  • Explain how to write the number that is one million more than 458,610,008
    15·2 answers
  • A line has a slope of -5 and
    15·1 answer
  • Brian invests £1900 into his bank account.
    9·1 answer
  • On my test, the teacher asked "Anna is in charge of making cookies. The cookie mix requires 2 cups of sugar for every 12 cookies
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!