# Base and longest side

The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle?

### Correct answer:

Tips for related online calculators

#### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**arithmetic**- comparing
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**basic functions**- maximum

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Tangent of an angle

Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Right angled

We built a square with the same area as the right triangle with legs 12 cm and 20 cm. How long will be the side of the square? - The trapezium

The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - Centimeters 6593

What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres? - Right-angled triangle base

Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - Quadrangular pyramid

The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Right-angled triangle

Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - 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? - Prism

A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cub - Right-angled 64084

A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - Tree trunk

From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section. - Equilateral 35073

Draw an equilateral triangle ABC with a side of 8.5 cm. Assemble all the mines and measure them. What is the difference between the longest and the shortest of them? - Square prism

A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism? - Calculate 6566

Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long. - Right-angled 3147

In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 ) - Prism

The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Right angled triangle 3

Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides.