Right triangle + quadratic equation - practice problems
Number of problems found: 113
- The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .
- Catheti
The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs.
- 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.
- 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.
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 81 cm and the section of hypotenuse adjacent to the second leg cb = 39 cm.
- Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular.
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- 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.
- 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.
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break?
- RT perimeter
The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.