In a right-angled triangle ABC, leg CA = 3 cm, angle A = 45 degrees Find the hypotenuse AB.
| August 11, 2021 | education
1. We calculate the value of ∠В:
∠В = 180 ° – 90 ° – 45 ° = 45 °.
2. The given triangle is isosceles, since the angles at its base are equal.
Therefore, AC = BC = 3 cm.
3. We calculate the length of the hypotenuse AB:
AB = √AC² + BC² = √3² + 3² = 3√2 cm.
Answer: AB = 3√2 cm.
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