# Practice problems of the right triangle

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: 1511

- Laws

From which law directly follows the validity of Pythagoras' theorem in the right triangle? ... - ABS CN

Calculate the absolute value of the complex number -15-29i. - Triangle

Can an equilateral triangle have a right angle? - Equilateral triangle

Find the area of an equilateral triangle with a side of 15 cm. - Euclid2

The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle. - Catheti

The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs. - Angle

Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Triangle 36091

Decide if the triangle is right (sides 5,11,7, cm) - Isosceles triangle

Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm. - Is right triangle

Decide if the triangle XYZ is rectangular: x = 4 m, y = 6 m, z = 4 m - Area of RT 2

Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm. - Right triangle

Right triangle ABC with side a = 19 and the area S = 95. Calculate the length of the remaining sides. - Right triangle

Right triangle legs have lengths 630 mm and 411 dm. Calculate the area of this triangle. - One leg

One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Height of right RT

The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle? - RT triangle and height

Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - Complementary angles 2

Two complementary angles are (x+4) and (2x - 7). Find the value of x. - Calculate 46541

Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm. - Perpendicular 5516

In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - Iso triangle

An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle.

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