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Lesechka [4]
3 years ago
9

WILL GIVE BRAINLIST SOON AS I CAN is the second number 3?​

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0
Yes the second number is three
Finger [1]3 years ago
5 0

Answer:

x = 2\sqrt{13}

Step-by-step explanation:

Using Pythagoras' identity on each of the 3 right triangles

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Outer right triangle

x² + z² = (9 + 4)² = 13² = 169, that is

x² + z² = 169 → (1)

Left right triangle

y² + 4² = x²

y² + 16 = x² ⇒ y² = x² - 16 → (2)

Right right triangle

z² = y² + 9²

z² = y² + 81 → (3)

Substitute (3) into (1)

x² + y² + 81 = 169 ← substitute (2) into here

x² + x² - 16  + 81 = 169

2x² + 65 = 169 ( subtract 65 from both sides )

2x² = 104 ( divide both sides by 2 )

x² = 52 ( take the square root of both sides )

x = \sqrt{52}

  = \sqrt{4(13)}

  = \sqrt{4} × \sqrt{13} = 2\sqrt{13}

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