Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.

Q: if a triangle is inscribed in a circle so that one of the triangle side is a diameter of a circle,…

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Q: Q3) An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the side of the square that is cut be x inch. After cutting the squares from the corners and…

Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 12 in.…

A: Given information:The sheet is  by  folded in the side of  by -units at both the corners to form a…

Q: (part A) What is the objective function F for this problem, before taking any constraints into…

A: According to given, F(x,y)= Total enclosure= 3x+3y= 3(x+y) Area=xy=108 m². Therefore, x= 108/y

Q: A layer of equal spheres is in the form of a square. The spheres are arranged so that each sphere is…

A: The lines that trace the center of the spheres will form into square pyramid. See figure below.

Q: 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right…

A: In this sum we are going to use the Pythagorean theorem and the concept of similar triangle.…

Q: A farmer wants to fence in rectangular plot of land adjacent to the north wall of his barnNo fencing…

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Q: A wire 50 ft long is divided into two parts to form a circle and a square. What is the radius of the…

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Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals