Triangle practice problems - page 47 of 127
Number of problems found: 2521
- Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place. - The triangles
The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '. - Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5. - Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Clock face
A clock face is drawn on paper. Straight lines connect numbers 10 and 5, and 3 and 8. Calculate the size of their angles. - Triangle middle crossbar
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52 mm and the base height is 48 mm - SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle α is 47°, find side a. Please round to one decimal. - Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? - Long rope
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Triangle perimeter
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - The pole
A 4 m wire brace supports a telegraph pole. It is attached at 3/4 of the pole's height, and its lower end is 2.5 m from the base of the pole. Calculate the height of the telegraph pole. - Square
Dan's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg? - Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours. - The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12. - Triangle ABC
Construct a triangle ABC is given c = 60 mm, hc = 40 mm and b = 48 mm analysis procedure steps construction - Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
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