<p> a) A point §§V1(1,31,2)§§ is on the bisector of segment AV, which has a length of 1 + §§V1(1,31,2)§§ cm. The point §§V2(1,31,2)§§ is §§V4(1,31,2)§§ cm away from the segment AV. How far is the point §§V6(1,31,2)§§ from the endpoints of the segment AV? </p> <p> b) A chord of length 1 + §§V3(5,29,2)§§ cm is drawn in a circle of radius 1 + §§V4(6,25,1)§§ cm. How far is the chord from the center of the circle? </p> <p> c) The perimeter of an equilateral triangle is 6 + §§V5(12,29,2)§§ cm, and one of its sides is 2 + §§V6(2,29,2)§§ cm shorter than its base. Calculate the area of this triangle. </p> <p> d) The base of an equilateral triangle is 3 + §§V7(4,29,2)§§ cm, and its height is 2 + §§V8(16,29,2)§§ cm. Calculate the length of the height corresponding to the leg. </p> <p> e) Calculate the perimeter and area of an isosceles right triangle whose hypotenuse (base) is §§V8(6,29,2)§§ cm. </p> <p> f) Calculate the height corresponding to the hypotenuse of an isosceles right triangle if: * the length of the hypotenuse (base) is 5 + §§V9(2,25,2)§§ cm; * the length of the leg (crank) is 4 + §§V10(8,25,2)§§ cm. </p>