# 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?

a) rectangular

b) acute-angled?

### Correct answer:

Tips for related online calculators

Are you looking for help with calculating roots of a quadratic equation?

See also our right triangle calculator.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

See also our right triangle calculator.

Cosine rule uses trigonometric SAS triangle calculator.

See also our trigonometric triangle calculator.

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

**algebra**- quadratic equation
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
- The Law of Cosines
**basic functions**- reason

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Right-angled 27683

Right-angled triangle XYZ is similar to triangle ABC, which has a right angle at the vertex X. The following applies a = 9 cm, x=4 cm, x =v-4 (v = height of triangle ABC). Calculate the missing side lengths of both triangles. - Circumscribing 80498

Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - 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? - Right-angled 81019

In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Right-angled trapezoid

A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - Right-angled 82471

In the right-angled triangle ABC, the lengths a = 7.2 cm, and b = 10.4 cm are dropped. Do the math a) lengths of the sections of the hypotenuse b) height on the hypotenuse c - Find all

Find all right-angled triangles whose side lengths form an arithmetic sequence. - Triangle 2668

The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - Prove 2

Prove that the minimum number of straight single cuts/strokes needs to divide a given right-angled triangle or an obtuse-angled triangle into a collection of all acute-angled triangles is seven(7). - Square

Rectangular square has side lengths 183 and 244 meters. How many meters will measure the path that leads straight diagonally from one corner to the other? - Right-angled 40961

A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate what percentage of the area of triangle ABC is the area of triangle A'B'C'. - Inequality 4434

The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds - 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). - Similarity

Are two right triangles similar if the first one has an acute angle 70° and the second one has an acute angle 20°? - 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 ) - Triangle's centroid

In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid), and the point S is the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side t - 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.