Practice problems of the right triangle - page 7 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
- Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Triangle TBC
TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB? - R triangle
Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Hypotenuse 80461
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm?
- Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse). - Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole. - Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
- High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Triangle's 63774
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm.
- Calculate 60423
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third party r. - Percentage 17613
At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease. - Millimeters 6019
In an isosceles right triangle, the arms' length is 50 mm, and the height at the base is 35.35 mm. Calculate the perimeter of this triangle in millimeters. - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle, the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
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