Geometry Related Problems Line Segment A line segment
Geometry Related Problems Line Segment
Ø A line segment is a line of definite length, bounded by two endpoints. As a dot is used symbolically represent point, so a straight rod used here to illustrate the concept of a line segment.
Nature of Unknowns, Representation, and Working Equations Ø Verbal problems concerning the line segment or as represented by a straight rod, generally involve solutions requiring derivation of working in linear form, depending on the number of divisions the rod would be partitioned; such number of parts and the length thereof constitute
Ø A piece of rod, 21 cm long, is to be cut into two parts. One part is to be twice as long as the other part. Find the length of each.
Example 2 Ø A metal bar, 60 cm. long, is to be divided into four parts. A 2 Two of the bars are two have the same lengths and the other two parts are also of equal lengths, but each of the first two are to be 4 cm shorter than each of the other two parts. Find the lengths of each.
Ø A piece of wooden rod, 48 cm long, consist of three parts. Each of the parts is to be progressively longer than its next part by one whole cm. unit. How long is each of the parts?
Ø A piece of wooden stick, 44 cm long, is to be sawed into 3 parts. The longest part is 4 cm shorter than the sum of the lengths of the two other parts. The part of the medium length is a cm longer, equals half the value of the sum of the longest and the shortest parts. Find each of the
TRIANGLE General Definition, Properties, & Measurements A triangle is formed from the union of three segments called its side; the points at which the segments intersect are called its vertex, or ‘vertices of the triangle’. Any given triangle determines three angles formed by each two adjacent sides.
For all triangles, the sum of the measures of its three angles is always equal to 1800 the sum of the lengths of all three sides of a triangle is called the perimeter of the triangle. The area of a triangle, regardless of kind is equal to one – half the product of its base and altitude.
Ø One angle is twice another. What are their measures if they are complementary to each other?
• One angle is 20° less than thrice its supplement. What are the angles?
Ø One angle is 30° less than the second angle and 20° greater than a third. The sum of the (three) angles is 160°. What are the measures of the angles?
SIDES OF A RIGHT TRIANGLE § Two legs of a triangle differ by 7 meters. The hypotenuse is 13 meters long. Find the legs.
Ø For a certain right triangle, it is known that the hypotenuse is 1 cm longer than one of the legs and 18 cm longer than the other leg. How long is each side of this right triangle?
Ø The hypotenuse of a right triangle is 30 cm. Its perimeter is 72 cm. Find the length of its shortest side.
• The perimeter of a right triangle is 60 millimeters. Its area is 150 square millimeters. Find the hypotenuse.
Ø One ladder is 5 dm longer than another. Each is placed on level ground with its lower end 24 dm from the foot of the vertical wall. The longer ladder reaches 11 dm further up the wall. How long is it?
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