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Please help me with this. (Geometry)

Please help me with this. (Geometry)-example-1
User Satya P
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1 Answer

24 votes
24 votes

Explanation:

Pythagoras's rule:
a^2 + b^2 = c^2 becomes
x^2 + 10^2 = y^2

If we say b = 10:
b = 10 = √(c^2 - a^2) = √(y^2 - x^2)

You only need to look at the left triangle

Which of the options follows Pythagoras's rule?

Let's try the options until we get the right one (in no particular order)

If we try: 3) x = 4 y =
29√(2)...


\sqrt{(29√(2))^2 - 4^4} = 7√(34) \\eq 10

If we try: 4) x = 16 y = 116...


√(116^2 - 16^2) = 20√(3) \\eq 10

If we try: 2) x = 16 y = 29...


√(29^2 - 16^2) = 3√(65) \\eq 10

If we try: 1) x = 4 y =
2√(29)...


\sqrt{(2√(29))^2 - 4^2} = 10

User Ryan Fisch
by
2.7k points