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
xeze [42]
3 years ago
13

Based on the side lengths given (a, b, and o, which triangles are right triangles?​

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2.

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}

The sides would not make a right triangle.

<h3>For Option Two:</h3>

6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}

The sides would make a right triangle.

<h3>For Option Three:</h3>

5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}

The sides would make a right triangle.

<h3>For Option Four:</h3>

6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}

The sides would not make a right triangle.

The correct answer should be options two and three.

You might be interested in
Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

#SPJ1

3 0
2 years ago
(-6,-4), (3,-4) find the slope
V125BC [204]

Answer:

Slope is 9.

Step-by-step explanation: The formula to find slope is m= y2-y1/x2-x1

-6=y1, -4=x1/ 3=y2, -4=x2

3-(-6)/-4-(-4)

=9/0=9

The Slope is 9.

I hope that this has helped, have a good day.

4 0
3 years ago
Can anyone help me on this question please.​
asambeis [7]

Answer:

12

Step-by-step explanation:

quarterly means 4

3*4 = 12

4 0
3 years ago
Please answer these questions.
noname [10]

Answer:

if the - after simplify is involved it would be 10, 9 and if it's not it's -9, -10.

6 0
3 years ago
In the above figure, m∠P = 120° and m∠Q = 5x. If angles P and Q are supplementary angles, what is the value of x and the measure
Lyrx [107]

Answer:

x= 12 and Angle Q measures 60 degrees

Step-by-step explanation:

Supplementary angles are two angles added together to make 180.

So 5x +120= 180  subtract 120 from both sides

5x=60  divide both sides by 5

x= 12

Angle Q= 5 times 12 = 60

7 0
3 years ago
Other questions:
  • A store has 7 red shirts 15 black shirts and 13 white sshirts
    12·1 answer
  • Help pls with 10 and 11
    5·1 answer
  • Please help I will be very grateful for this
    13·2 answers
  • Estimate. Then find the product 6 x 219
    15·2 answers
  • The two cones are congruent. Determine the unknown measures of the cones. A = units B = units C = units D = units
    12·2 answers
  • 3(x+2)^2=48 with word steps
    5·2 answers
  • Pls help :((((((((((((
    9·1 answer
  • write an equation in y=mx+b for a line that passes through (3,-4) &amp; has a slope of -3. you can write it in point-slope and c
    10·1 answer
  • Hehehejejwjjejejjejejwkwkwkekekejjeue
    6·1 answer
  • What is the equation of the line that passes through the points (5,3) and (9,-13)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!