Triangle + comparing - practice problems
Number of problems found: 19
- Base and longest side
The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle? - Two angles 2
Two angles of a triangle have the same measure and the third one is 45 degrees greater than the measure of each of the other two. Find the measure of the largest angle in the triangle. - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm - Inclined plane
1. How much work W we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m. 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need if - Flakes
We describe a circle of the square, and we describe a semicircle above each side of the square. This created 4 flakes. Which is bigger: the area of the central square, or the area of four flakes? - Possible lengths
Find the most possible lengths for the third side of a triangle with sides 20 and 18. - Calculate 2
Calculate the largest angle of the triangle whose side are 5.2cm, 3.6cm, and 2.1cm - A bridge
A bridge over a river has the shape of the arc with bases of the bridge at the river's edge. At the center of the river, the bridge is 10 feet above the water. At 27 feet from the edge of the river, the bridge is 9 feet above the water. How wide is the ri - Circumscribed circle to square
Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square. - Is right?
Determine whether the triangle with legs (catheti) 19.5 cm and 26 cm and length of the hypotenuse 32.5 cm is rectangular? - Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of their size. ... - Triangle
Determine if it is possible to construct a triangle with sides 28 31 34 by calculation. - Gon functions
Decide which of the numbers (values of trigonometric functions) are positive and which are negative (or zero). Positive mark +1 and negative -1. - Triangle
Prove whether you can construct a triangle ABC, if a=9 cm, b=6 cm, c=10 cm. - Lunes of Hippocrates
Calculate the sum of the contents of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: first calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of t - Triangles
Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm, and the length of the third side is expressed in whole centimeters. How many triangles does he have? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0 if not, if yes, find and write the coefficient of a similarity) - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height v = 15 cm. Which of these two bodies has a larger surface area?
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