'); parent.frames[0].document.write('
Answers and Explanations'); parent.frames[0].document.write('

The problems you missed are listed below with answers and explanations.  Look over the explanation for each problem so you can understand why you missed it!

'); parent.frames[0].document.write('
'); resetdisplay(); for(var i = 0; i <10; i++) { ganswer[i] = prompt(question[i],""); if (ganswer[i] == "quit" || ganswer[i] == "QUIT" || ganswer[i] == "Quit") { break; } q++; if (ganswer[i] == answer[i]) { c++; } else { rightans[i] = 0; w++; } resetdisplay(); } for(var i = 0; i < 10; i++) { if (rightans[i] == 0) { expl = expl + explain[i]; } } parent.frames[0].document.write(expl); parent.frames[0].document.write(""); } question[0] = 'How many variables are used in the Pythagorean Theorem?'; question[1] = 'The Pythagorean Theorem is used to find measure of what in triangles?'; question[2] = 'Is a+b=c the Pythagorean Theorem?'; question[3] = 'If the hypotenuse of a right isosceles triangle equals 2SQRT(2) what is the length of one of the legs?'; question[4] = 'The opposite side from an angle divided by the adjecent side to an angle (in a right triangle) equals what trigonometric ratio?'; question[5] = 'What trigononmetric ratio does not involve the hypotenuse?'; question[6] = 'A right triangle has a side length of 1 and a hypotenuse of 2, what is the measure of the smallest angle?'; question[7] = 'What is length of the longest side in a 30-60-90 triangle with hypotenuse of 2?'; question[8] = 'Does the Pythagorean Theorem compute angle measures?'; question[9] = 'What is the Pythagorean Theorem?'; answer[0] = '3'; answer[1] = 'sides'; answer[2] = 'no'; answer[3] = '2'; answer[4] = 'tangent'; answer[5] = 'tangent'; answer[6] = '30'; answer[7] = '2'; answer[8] = 'no'; answer[9] = '(a^2)+(b^2)=(c^2)'; explain[0] = '#1

The Pythagorean Theorem is used to help find side lengths. Since there are 3 sides in a triangle there are 3 variables to work with in the Theorem.

'; explain[1] = '#2

The Theorem is used in helping find side lengths.

'; explain[2] = '#3

The Pythagorean Theorem is a^2 + b^2 = c^2 not a+b=c

'; explain[3] = '#4

Since the triangle is isosceles, we know that the 2 sides must be equal. Since it is a right triangle, we know that one angle is 90 degrees. Knowing that the other angles must be equal we know that the other 2 angles equal 45 degrees. A 45-45-90 triangle has the lengths of SQRT(2)-1-1 for the sides. If the hypotenuse is 2SQRT(2) then we can see all the sides have been multiplied by 2 (2SQRT(2)/SQRT(2) = 2). Therefore we can just multiply the other sides by 2 and get our answer of 2.

'; explain[4] = '#5

The oppsite side over adjacent side trig ratio is defined as Tangent

'; explain[5] = '#6

Tangent is the only basic trig ratio that does not involve the hypotenuse

'; explain[6] = '#7

If a right triangle has lengths of 1 for a leg, and 2 for the hypotenuse, we can figure out the 3rd side by using the Pythagorean Theorem. The 3rd side is SQRT(3). A 30-60-90 triangle has those side lengths. Since we already know that one angle is 90, we know that the other two are 30 and 60. So the smallest angle is 30.

'; explain[7] = '#8

The longest side in a 30-60-90 triangle is 2. The hypotenuse does count as a side, it is just not a leg. And the hypotonuse is always the longest side in a right triangle.

'; explain[8] = '#9

The Pythagorean Theorem computes side lengths, not angle measures.

'; explain[9] = '#10

The Pythagorean Theorem is defined as (a^2)+(b^2)=(c^2).

'; rightans[0] = 1; rightans[1] = 1; rightans[2] = 1; rightans[3] = 1; rightans[4] = 1; rightans[5] = 1; rightans[6] = 1; rightans[7] = 1; rightans[8] = 1; rightans[9] = 1; //-->