Practice problems of the right triangle - page 2 of 79A 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: 1576
- Calculate 35411
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle.
- Calculate 3373
Calculate the PT sling if the length of one sling is 1.2 dm and the diaphragm length is 1.3 dm.
- Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x.
- Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m?
- Supported 6172
The ladder is 1.4 m from the wall and touches 3 m high. How long is the ladder?
- Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm.
- Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area.
- Broken tree
The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree.
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 56 cm and height hc = 4 cm. Determine the length of both triangle legs.
Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°.
- Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long.
- Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC.
- The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle?
- Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm?
- One side
One side is 36 long with a 15° incline. What is the height at the end of that side?
- An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x.
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss)
- Right triangle ABC
Calculate the perimeter and area of a right triangle ABC. If you know the length of the legs, 4 cm, 5.5 cm, and 6.8 cm are the hypotenuse.
- Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm.
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
See also our right triangle calculator.