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In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.

Sagot :

Lanuelidn

Answer:

Adjacent, b = 45 units

Step-by-step explanation:

Let the length of sides of the triangle be;

  • Opposite side = a
  • Adjacent side = b
  • Hypotenuse side = c

Given the following data;

Hypotenuse, c = 53 units

Opposite, a = 28 units

To find the missing side (adjacent), we would have to apply Pythagorean' theorem.

From Pythagorean theorem;

c² = a² + b²

Substituting into the formula, we have;

53² = 28² + b²

2809 = 784 + b²

Rearranging the equation (collecting like terms), we have;

b² = 2809 - 784

b² = 2025

Taking the square root of both sides, we have;

b = √2025

Adjacent, b = 45 units

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