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Setler79 [48]
3 years ago
7

0.5(x^2 + 5x + 136)^2/3 = 50​

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

see the attachments for answers

PLZ MARK AS BRAINLIEST

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Find the side lengths of the triangle in this picture.​
ozzi

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

3\cdot x + 14

Long leg

3\cdot x + 13

Short leg

x

By the Pythagoric Theorem, we have the following expression:

(3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2} (1)

9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169

9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169

x^{2} -6\cdot x -27 = 0

(x-9)\cdot (x+3) = 0

As length is a positive variable by nature, then the only possible solution is x = 9. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

8 0
3 years ago
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