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Bess [88]
2 years ago
13

I need help fast please​

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
8 0

Answer:

D

Step-by-step explanation:

Triangle PQR is scaled 3x the size of Triangle LMN. This means that if length LM is 3cm, just multiply it by 3 to get length PQ, 9cm

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Triangle PQR where P(1,4), Q(-3,-4),R(7,k) is right-angled at Q. find the value of k
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Answer:

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Step-by-step explanation:

As the triangle is right-angled at Q, by Pythagoras:

PR^2 = PQ^2 + RQ^2

So, substituting the given data and using the distance formula between 2 points:

(7 - 1)^2 + (k - 4)^2 =  (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2

36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2

(k - 4)^2 - (k + 4)^2 = 180 - 36

k^2 - 8k + 16 - (k^2 + 8k + 16) = 144

-16k = 144

k = -9.

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