With the lengths of two sides of a triangle and the measure of the angle between the two sides, is it possible to construct the triangle? a) no, because it is impossible to know the length of the third side. b) yes, because there can be only one possible length of the third side. c) no, because it is impossible to know the measures of the other two angles. d) yes, because the sum of the measures of the other two angles must be 180°.

B) Yes there's only one possible length for the third side

By the SAS (side angle side) congruence rule for triangles, we know that only one triangle is possible. So only one side length is possible for that third missing side. We can use the law of cosines to figure out the length of the missing side.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}