Practice problems of the right triangle - page 23 of 81
A right triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). This angle is formed by the intersection of two of the triangle's sides, which are called the legs of the triangle. The other side of the triangle is called the hypotenuse, which is the side opposite the right angle, and is the longest side of the triangle. Right triangles are important in mathematics and are used in many areas of science and engineering, including trigonometry, physics, and construction. The Pythagorean theorem which states that in a right triangle, the sum of the squares of the legs (a,b) equals the square of the hypotenuse (c) is a fundamental result in geometry.Number of problems found: 1619
- Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. - Centimeters 4404
Calculate the diagonal of a square if its area is equal to 169 square centimeters. - Ladder
The ladder has a length of 3.5 meters. It is leaning against the wall, so the bottom end is 2 meters from the wall. Find the height of the ladder. - Ladder
Ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall? - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Equilateral 5571
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle? - Hypotenuse 3554
Calculate the hypotenuse length if you know the area of an isosceles right triangle that is 24.5 cm square. - Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long. - Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle? - The double ladder
The double ladder has three meters-long shoulders. What is the height of the upper ladder reach if the lower ends are 1.8 meters apart? - Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Calculate 82490
Calculate the area of an isosceles triangle ABC with a base of 10 cm and a side of 7 cm. Sketch a picture. - Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit? - Calculate 5255
The area of the square is equal to 2.56 square meters. Calculate its diagonal. - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - 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. - RT 10
The area of the right triangle is 84 cm², and one of its catheti is a=10 cm. Calculate the perimeter of the triangle ABC. - Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
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