# Triangle in a square

In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides.

### Correct answer:

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The Pythagorean theorem is the base for the right triangle calculator.

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See also our trigonometric triangle calculator.

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

**algebra**- expression of a variable from the formula
**planimetrics**- Pythagorean theorem
- triangle
- square
- diagonal
**goniometry and trigonometry**- sine
- cosine
- arcsine
- arccosine

#### Units of physical quantities:

#### Grade of the word problem:

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