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Lilit [14]
3 years ago
13

How do i prove that they are right triangles ?

Mathematics
2 answers:
spayn [35]3 years ago
8 0
If it is 90 degreees at the angle
Juliette [100K]3 years ago
3 0

Answer:

You use the Pythagorean Theorem or a²+b²=c²

a and b are the two shorter sides, c is the hypotenuse, the longest side.

Step-by-step explanation:

I will do them for you:

     12²+16²=20²

   144+256=400

           400=400

Triangle XYZ is a Right Triangle :)

    15²+20²=25²

  225+400=625

           625=625

Triangle PQR is a Right Triangle :)

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Answer:

5iejksjsjsjsnnsnsnsnsns

6 0
3 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
I want to build a deck around my pool that is the same width all the way around. If the pool is 8meters by 10meters and I have e
anastassius [24]

Answer:

Step-by-step explanation:

4 0
2 years ago
−<br> 3<br> (<br> 7<br> −<br> 2<br> x<br> )<br> =<br> −<br> 1<br> −<br> 4<br> x
Bogdan [553]

Answer:

5208

Step-by-step explanation:

3 0
2 years ago
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
AnnZ [28]

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

x_{vertex}= -b/2a

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

f(-13/4)= -9/8

Then your expression for this quadratic should be:

f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

7 0
2 years ago
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