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goldfiish [28.3K]
3 years ago
11

How does this work I’m confused

Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0

Answer:

how does what work?

Step-by-step explanation:

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the hypotenuse of the right angled triangle is 6cm more than twice the shortest side. if the third side is 2 cm less than the hy
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Answer:

Let the base be p

Hypotenuse = 2p +6

Perpendicular = 2p + 4

By Pythagoras theoram

(2p+6)^2 = (2p+4)^2 +p^2

=> 4p^2 +36 + 24p = 4p^2 + 16 +16p +p^2

=> 36+ 24p = p^2 + 16p + 16

=> p^2 - 8p - 20 = 0

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=> p(p-10) +2(p-10) = 0

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p = 10 and - 2

Length can't be negative

So,

p = 10

Base = 10

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