Question

Find the remaining sides of a 45°-45°-90° triangle if the longest side is 14. (Enter your answers as a comma-separated list.)

Answer 1

The remaining side of the triangle is= 10, 10 , 14

Calculation of the sides of triangle

Let the given side be = a = 14 adjacent to <90°

The second side adjacent to <45° = b

The third side adjacent to next <45° = c

Using the cosine rule;

SinA/a = SinB/b or SinC/c

Substitute the variables into the given formula,

= Sin 90°/14= Sin45/b

= 1/14= 0.7071/b

b = 9.9 = 10

The third side is also equal to 10

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