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Natalka [10]
3 years ago
8

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is

a right triangle. Show all calculations for full credit.
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
7 0
The answer is yes, and I will give you the calculation soon

PQ=\sqrt{3^{2} +1^{2}  }=\sqrt{10}
QR=\sqrt{ 2^{2} + 6^{2} } =2 \sqrt{10}
PR=\sqrt{ 5^{2} + 5^{2} } =5 \sqrt{2}

\sqrt{10} ^{2} + (2\sqrt{10}) ^{2} =(5 \sqrt{2} )^{2}
mote1985 [20]3 years ago
3 0
Remember.

A right triangle has sides a^2 + b^2 = c^2. Conversely, if a triangle has sides a^2+b^2=c^2 then it is a right triangle.

So first, find the distance between PQ, QR and RP. Then check to see if any combinations. Does PQ^2 + QR^2  = RP^2,  QR^2 +RP^2  = PQ^2 or  RP^2 + PQ^2  = QR^2. If so, you have a right triangle.
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Answer:

-  \frac{6}{7}p +  \frac{1}{7}

Step-by-step explanation:

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8 0
4 years ago
Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much ar
KATRIN_1 [288]
D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

6 0
3 years ago
The product of two consecutive even integers is 360360. find the integers.
professor190 [17]
There are no 2 consecutive integers which give a product 360360
5 0
3 years ago
3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm s
Gekata [30.6K]

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

6 0
3 years ago
3.
navik [9.2K]

Answer: 12.5

Step-by-step explanation:

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