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Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-115

12-115.

For each triangle below, determine the value of , if possible. Name the triangle relationship that you used. If the triangle cannot exist, explain why.

  1. A right triangle with a leg, X, and hypotenuse of 28. The side opposite the 60 degree angle is, X.

pattern

  1. A right triangle with a height of 19, base of X, and hypotenuse of 17.

Why is the length of the hypotenuse significant in this particular triangle?

  1. An obtuse triangle with a base of 8. An external triangle is created, by a line segment of X, drawn from the upper vertex, to the extended base, at right angles.
    Area of the shaded region is square units.

Use the area to work backwards to find the value of .

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