Find the legs of a right-angled triangle if its hypotenuse is 4 cm, and one of the corners is 45 C.
| January 11, 2021 | education
The sum of the angles of a triangle is 180 °, the sum of two angles in a right triangle is 90 °. If one angle is 45 °, then the other is also 45 °. Hence the triangle is isosceles: a = b;
c² = a² + b²; c² = 2 a²; 2 a² = 4²;
2 a² = 16; a = b = √8 = 2 √2 (cm);
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