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6 July, 11:19

Right triangle, find the missing length to the nearest tenth.

8 ft

19 ft

a.

6.7 ft

b.

20.6 ft

c.

4.7 ft

d.

17.2 ft

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Answers (1)
  1. 6 July, 12:51
    0
    17.2 ft or 20.6 ft

    Step-by-step explanation;

    We are given;

    two edges of a right triangle;

    8 ft and 19 ft

    We are required to determine the missing length;

    We are going to consider two options because we are not given descriptions of the edges given;

    Option 1;

    Assuming the edges given are both the legs of the triangle;

    Therefore, using Pythagoras theorem;

    a² + b² = c², where a and b are the legs of the triangle and c is the hypotenuse.

    Thus;

    c² = 8² + 19²

    = 425

    c = √425

    = 20.62

    = 20.6 ft

    Option 2;

    Assuming that the edges given are a leg and the hypotenuse of the right triangle;

    Therefore, c = 19 ft and a = 8 ft

    Using Pythagoras theorem;

    c² = b² + a²

    Rearranging the formula;

    b² = c² - a²

    = 297

    b = √297

    = 17.23

    = 17.2 ft

    Therefore, the missing length of the right triangle is either 17.2 ft or 20.6 ft
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