![]() Find vector AB and vector |A|.įind the area of the right-angled trapezoid ABCD with the right angle at the A vertex a = 3 dm b = 5 dm c = 6 dm d = 4 dm Given vector OA(12,16) and vector OB(4,1). The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the original height of the tree.Ĭalculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm.įrom which law directly follows the validity of Pythagoras' theorem in the right triangle?. The top of the tree touches the ground at a distance of 5 meters from the trunk. The tree is broken at 4 meters above the ground. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart?Ĭalculate the length of a side of the equilateral triangle with an area of 50cm². The double ladder shoulders should be 3 meters long. We built a square with the same area as the right triangle with legs 12 cm and 20 cm. How long is the height of this right triangle?Ĭalculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm. The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. Symbol h refers to the altitude (height) of the triangle, which is the length of the perpendicular line segment drawn from the vertex of the triangle to the hypotenuse.Ī right triangle in word problems in mathematics: Symbols for angles are A (or α alpha) and B (or β beta). The symbols a and b are the lengths of the shorter sides, also called legs or arms. In a Right triangle, the side c that is opposite the C=90° angle and is the longest side of the triangle and is called the hypotenuse. The calculator provides a step-by-step explanation for each calculation.Ī right triangle is a kind of triangle that has one angle that measures C=90°. ![]() Two independent properties entirely determine any right-angled triangle. If the triangle is not a right triangle, this theorem will not work.The right triangle calculators compute angles, sides (adjacent, opposite, hypotenuse), and area of any right-angled triangle and use it in the real world. It's important to note that the Pythagorean theorem holds true only for right triangles. If you know the side lengths, you can use the trigonometric functions to find the angles: ![]() You can use the inverse trigonometric functions such as arctan, arcsin, arccos to find the angles. For example, if you know the length of the hypotenuse is c and the length of one of the legs is a, you can find the length of the other leg by:Īdditionally, you can use the Pythagorean theorem to find the measure of the angles in a right triangle. If you know the length of the hypotenuse and one of the other two sides, you can use the Pythagorean theorem to find the length of the remaining side. Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. To calculate the properties of a right triangle when given certain information, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
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