a) A point 31 is on the bisector of segment AV, which has a length of 1 + 31 cm. The point 9 is 23 cm away from the segment AV. How far is the point 31 from the endpoints of the segment AV?

b) A chord of length 1 + 11 cm is drawn in a circle of radius 1 + 23 cm. How far is the chord from the center of the circle?

c) The perimeter of an equilateral triangle is 6 + 28 cm, and one of its sides is 2 + 31 cm shorter than its base. Calculate the area of this triangle.

d) The base of an equilateral triangle is 3 + 4 cm, and its height is 2 + 16 cm. Calculate the length of the height corresponding to the leg.

e) Calculate the perimeter and area of an isosceles right triangle whose hypotenuse (base) is 16 cm.

f) Calculate the height corresponding to the hypotenuse of an isosceles right triangle if: * the length of the hypotenuse (base) is 5 + 8 cm; * the length of the leg (crank) is 4 + 8 cm.