1. The area of a kite is 240 cm? and the length of one diagonal is 40 cm. How long is the other

diagonal?
2. The length of one base of a trapezoid is 18 cm while the length of the median is 12 cm. Find the length of the other base.
3. If one of the base angles in an isosceles trapezoid is represented by (x)° and the other base
is (3x- 70)°, what are the measures of the angles in the isosceles trapezoid?

1 answer

1. Area of a "kite" = product of the diagonals / 2

2. length of the median of a trapezoid = (sum of the parallel sides) / 2

3. In an isosceles triangle, the two base angles are equal.
so in your triangle:
3x - 70 = x

solve for x, then use the fact that all 3 angles add up to 180° to find the
third angle.