January SAT Math Questions

<p>If anyone has time, please explain these ones please:</p>

<p>the PQRS line question (answer is apparently 8)</p>

<p>the measure of the angles within the cube (I got 90, answer is apparently 60)</p>

<p>The smallest perimeter of the isosceles triangle is 42. ( I thought it was 41). </p>

<p>Thanks!</p>

<p>Hey ChessChamp,</p>

<p>I’m guessing Eric or Kevin ;)</p>

<p>For the PQRS question,
Draw a line with Q as the mid point of R and P, and R as the midpoint between Q and S
The entire line is 18 units across and it is divided into 3 equal segments of 6 units each. You are given the value of QX which is 4. XS would just be QS -4 which is 8 as QS would be 2 segments of the entire line(12 units long)</p>

<p>The angles in a cube is just an equalateral triangle. I think you got 90 from doing two 45 degree angles when the thing is on a plane. But it isn’t like that. Its hard to explain :/</p>

<p>The Smallest perimeter of the isosceles triangle is 42 because it states that n(the other two lengths) are both INTEGERS. So it has to be 11,11 and 20. Not 10.5,10.5 and 20.</p>

<p>Hope this helps :)</p>

<p>The triangle in the cube is equilateral, so the angle was 60. The three sides of the triangle are diagonals of the cube, and since all sides of a cube are equal, the diagonals must be equal too.</p>