Triangle practice problems
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2502
- Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - A triangle 8 A triangle has a base of 9.2 feet and a height of 4.8 feet. What is the area of the triangle?
- Existence of a triangle
Can the sides of a triangle have lengths 4, 18, and 20? - The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles. - Two sides 2 Two sides of a triangle are 12 and 15, and the perimeter is 40. Find the other side.
- Triangle - same sides
Can the sides of a triangle have lengths of 11, 11, and 14? If so, what kind of triangle is it? - Area - simple
Find the area of the triangle. So, the base is 7 2/3 mi. The height is 7 mi. What is the Area? - The sides 7
The sides of the triangle are 5.2, 4.6, and x. If the PERIMETER of the triangle is 11.2 feet, what is the length of the unknown side? (hint: draw a picture) - The perimeter 12
The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q? - Three angles The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles.
- Triangle - XYZ For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle.
- Three angles
Find all missing values of angles using the Law of Cosines if given all sides: a=12, b=13, and c=20 - Three ratios 2
What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3? - Perimeter - general
Solve: the perimeter of a triangle is 4x+1.if two of it side are(x+2) and (x-1). Find the third side. - Angles sum 180 In triangle ABC, the measure of ∠A is 30°, and the measure of ∠C is 90°. What is the measure of ∠B?
- Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - A triangular A triangular frame has sides that measure 15’-7",20’-4", and 26’-2". What is the total length of the three sides?
- The tent 3
The top of a 1.3 meters tall tent is tethered to the ground by a cable. The cable makes a 37 degrees angle with the ground. Find the cable length. - Panting If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.?
- The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles.
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