A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and
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Answer:
Step-by-step explanation:
Method #1: 45-45-90 Triangle
You can use the rules for a 45-45-90 triangle. These are:
→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.
→ The triangle will have 2 legs, <em>x</em>, and one hypotenuse, <em>x</em>√2.
Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.
Method #2: Pythagorean Theorem
You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on <u>right</u> triangles.
The Pythagorean Theorem is defined as where <em>a</em> and <em>b</em> are both legs of the triangle and <em>c</em> is the hypotenuse.
Therefore, substitute the known value for <em>a</em>, 11, and the known value for <em>c</em>, 11√2. Then, evaluate each value to its power (except for <em>b </em>- it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to , you should take the square root of both sides of the equation to get the value for <em>b</em>.