SorinQ692396 SorinQ692396
  • 25-10-2022
  • Mathematics
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how long is the hypotenuse of this right triangle?28 519023

how long is the hypotenuse of this right triangle28 519023 class=

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AransaH77227 AransaH77227
  • 25-10-2022

To calculate the hypotenuse of a right angled triangle as shown in the diagram, we can apply the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (the longest side) 28 units, AB is one of the other two sides, 23 units and BC is the third side.

We can now re-write the formula as follows;

28^2 = 23^2 + BC^2

784 = 529 = BC^2

Subtract 529 from both sides of the equation

255 = BC^2

Add the square root sign to both sides of the equation and you have

BC = 15.9687

BC is approximately 16 units

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