Geometry Answers

Given a triangle whose sides are 42 cm, 50 cm, and 63 cm. Find the radius of a circle which is tangent to the 50 cm and 63 cm side of the triangle, and whose center lies on the third side.

If the sides of the parallelogram and an included angle are 6, 10 and 100 degrees respectively, find the length of the larger diagonal.

A piece of wire is shaped to enclose a square whose area is 169 cm². It is then reshaped to enclosed a rectangle whose length is 5 cm. how many square centimeters(cm²) is the area of the rectangle?

A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose length is 2 cm more than its width, find the area of the rectangle.

Mention explain mathematically and illustrate/show/draw/copy and paste a cultural artefact where translation is used to develop the pattern or artistic effect.

in a triangle with the side lengths 5, 7, 9 length units, the largest angle x is

A) x>90

B) x=90

C) x<90

If there are twelve small squares, four small squares are shaded, how many more small squares need to be shaded so that 2/3 of the rectangle is shaded?

a. 2

b. 3

c. 4

d. 5

A rectangular sheet of metal is 1.2 meters long and 80 centimeters wide. From this sheet, a machine cuts metal circuits. a. Find the maximum number of circles with a diameter of 4 cm that can be cut from sheet metal. b. Eli says less than 25% of the foil will go to waste. Is Eli right? Justify your answer. * c. The 4 cm diameter of the circles is given rounded to the nearest millimeter. How would this affect responses to request a and b?

Imagine that you are in an argument with your sibling or friend about the size of the slice of pizza that you were both served. They say that it was unfair because you got a bigger piece. What information would you need to know about each slice of pizza in order to calculate which one had a larger area? Explain. (hint: remember the formula for the area of a sector of a circle!! )

Mention explain mathematically and illustrate/show/draw/copy-and- paste a cultural artefact where translation is used to develop the pattern or artistic effect.