Triangle practice problems - page 59 of 125
Number of problems found: 2496
- Isosceles - isosceles
It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that the BCX triangle is an isosceles and triangle ABX is an isosceles with the base AB.
- Isosceles gable
The roof of a cottage has a gable in the shape of an isosceles triangle with a base length of 8m and a side length of 10m. How high is the gable?
- Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base.
- Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and the length of the hypotenuse 32.5 cm is rectangular.
- Arm
Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
- Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
- Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long.
- Catheti
One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus?
- An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area.
- Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid.
- Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm.
- Equilateral 14873
There is a circle with a radius of 2.5 cm and point A, which lies on it. Write an equilateral triangle ABC in the circle.
- Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
- Ladder and wall
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach?
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
- Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle.
- Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
- Triangles 80492
The sum of the lengths of the three segments is 140mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles
- Is right?
Is a triangle with sides 15, 66, and 68 right triangle?
- Complementary 81152
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have?
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