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3 years ago

State if each triangle is a right triangle.

Mathematics

1 answer:

Kitty [74]3 years ago

3 0

Answer:

No, It is not a right triangle

Step-by-step explanation:

For it to be a right triangle, the hypotenuse would be equal to the sum of the legs when squared.

Use the pythagorean theorem-

8^2+12^2=15^2

64+144=225

208=225

Since they aren't equal, it is not a right triangle.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

$M=(\frac{d}{2},\frac{c}{2})$

We can also determine the coordinates of point N as:

$N=(\frac{a+b}{2},\frac{c}{2})$

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

$MN=\frac{a+b}{2}-\frac{d}{2}$

Subtracting the fractions we get:

$MN=\frac{a+b-d}{2}$

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

$A=(0,0)$

The coordinates of B are:

$B=(a,0)$

Therefore, the length of segment AB is:

$AB=a$

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

$C=(b,c)$

The coordinates of D are:

$D=(d,c)$

Therefore, CD is:

$CD=b-d$

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

$MN=\frac{1}{2}(a+b-d)$

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0

1 year ago

How manys days makes a leap year?

dem82 [27]

Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.

Step-by-step explanation:

3 0

3 years ago

Danielle’s aunt is 8 years than 3 times Danielle’s age. Her aunt is 34. Write an equation that relates Danielle’s age, a, to her

OverLord2011 [107]

Answer:

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation: 3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:

3a - 8 = 34

Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3: 3a/3 = 42/3

Solve for a: a = 14, so Danielle's age is 14 years old.

7 0

3 years ago

Fittoniya [83]

Answer:

Step-by-step explanation:

200*0.30=60

Multiply the percent's by the total cost.

6 0

2 years ago

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1 1/3 yards converted to inches

Semmy [17]

Google will do it for you. its 48 inches

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3 years ago

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