Find the area of a right-angled triangle if its hypotenuse is √20 and one of the legs is 4.
| February 27, 2021 | education
1. Vertices of the triangle – A, B, C. ∠A = 90 °. Hypotenuse BC = √20 units.
AB leg = 4 units. S is the area of the triangle.
2. Calculate the length of the second leg of the AC, using the formula of the Pythagorean theorem:
AC = √BC² – AB² = √ (√20) ² – 4² = √20 – 16 = √4 = 2 units.
3. S = 1/2 x AB x AC = 1/2 x 4 x 2 = 4 units ².
Answer: S equals 4 units².
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