Abeka 11th Grade Plane Geometry Quiz 20

if two sides of a triangle are 7" and 5", then the third side must be less than (?)

12 in (7 + 5 = 12)

if the length of the median to the hypotenuse of a right Triangle is 6" long, then the length of the hypotenuse is (?)

12 in (hypotenuse = 2 * median = 2 * 6 = 12)

referring to question #1, the third side must be greater than (?)

2 in (7- 5 = 2)

if a base angle of an isoceles triangle is 16 degrees more han half of the measure of it's vertex angle, then the vertex angle is ______ degrees?

74 [ 2 * ( x/2 + 16 degree) + x = 180degrees x + 32 degrees + x = 180degrees 2x = 148degrees x = 74degrees ]

one of the two COMPL. angles is 18 less than three times the other angle. find the two angles.

other < = x, One < = 3x - 18 ______ 3x - 18 + x = 90degrees 4x = 108 ------- x = 27 3x - 18 = 63

if an EXT. angle of a triangle is 111 degrees and one of the opposite INT angles is twice the other, then find the three angles of the traingle

x + 2x = 111 3x = 111 180 - 111 = 69 x= 37 angle 2= 69 2x = 74

if the median of a trapezoid is 8", and one base is 4" more than the other base, find the length of the bases

(1) 1/2 (x + x + 4) = 8 1/2 (2x + 4) = 8 2x + 4 = 16 (2) 2x = 12 x = 6 x + 4 = 10