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Romashka [77]
3 years ago
9

URGENT PLEASE HELP ME

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

The Pythagorean Theorem states that the two legs squared will equal the hypotenuse squared.

Pythagorean Theorem:

a^2+b^2=c^2

Since we are given the length of the two legs and the hypotenuse, if we plug in the values they are equal, they are right triangles.

The hypotenuse is the side opposite from the right angle, which will be the longest side.

Let's plug in the values.

<u>Triangle 1</u>

<u></u>a^2+b^2=c^2\\<u></u>

<u></u>9^2+12^2=225\\15^2=225<u></u>

So the first triangle is a right triangle.

<u>Triangle 2</u>

<u></u>a^2+b^2=c^2<u></u>

<u></u>6^2+8^2=100\\10^2=100<u></u>

So the second triangle is also a right triangle.

<u>Triangle 3</u>

<u></u>a^2+b^2=c^2<u></u>

<u></u>2^2+4^2=20\\6^2=36<u></u>

So the third triangle is not a right triangle.

Hope this helped,

chikafujiwara

キズナミュージック♪

krek1111 [17]3 years ago
5 0

a) & b) is yes, c) is no. hope you have a good day

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Step-by-step explanation:

You need to translate all the points to the right 3 and up 6

Therefore, you are going to use this formula:

(x,y) ⇾ (x + 3, y + 6)

This is the same format as the previous problem, if you have noticed.

Using this, plug in each coordinate, starting with  P (5, -1)

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(5, -1) ⇾ ( 8, 5 )

P^{1} = (8, 5)

Now point Q, (0, 8)

(0, 8) ⇾ (0 + 3, 8 + 6)

(0, 8) ⇾ ( 3, 14 )

Q^{1} = (3, 14)

And last but not least, the point R, (7, 5)

(7, 5) ⇾ (7 + 3, 5 + 6)

(7, 5) ⇾ ( 10, 11 )

R^{1} = (10, 11)

Therefore, P^{1} = (8, 5), Q^{1} = (3, 14), R^{1} = (10, 11) is your answer. This is the 4th option or D.

Hope this for you to understand this a bit more! =D

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