Math Test Problem Set 8

Question 1

30-60-90 Triangle

Answer 1

Hypotenuse: 2x (biggest side b/c opposite of 90 degree angle)
Side opposite of 30 angle side: x (smallest side b/c opposite of 30 degree angle)
Side opposite of the 60 angle side: x√3 (medium side b/c opposite of 60 degree angle)

Question 2

45-45-90 Triangle

Answer 2

Isosceles Triangle:
45 degree sides: x
hypotenuse side: x√2

Question 3

Triangle Inequality Theorem

Answer 3

The sum of the length of two sides of a triangle must be greater than the length of the third side. (In order for it to be a triangle)

Question 4

Converse Pythagorean
c is the longest side length
c² = a² + b²

Answer 4

The triangle is right

Question 5

c is the longest side length
c² > a² + b²

Answer 5

The triangle is obtuse

Question 6

c is the longest side length
c² < a² + b²

Answer 6

The triangle is acute

Question 7

Equation to find the area of a trapezoid

Answer 7

[ (b1 + b2) / 2 ] h

Question 8

Equation to find the area of an equilateral triangle

Answer 8

(s²√3) / 4