Find the legs of an isosceles right triangle if the hypotenuse is 4 cm.
| September 21, 2021 | education
The legs of an isosceles right triangle are equal.
Find the leg of an isosceles right triangle from the Pythagorean theorem: c² = a² + b², where a is the first leg of a right triangle, b is the second leg of a right triangle, c is the hypotenuse of a right triangle.
a = b from the condition of the problem, therefore: c² = a² + a² = 2a².
4² = 2 * a².
16 = 2 * a².
a² = 16/2 = 8.
a = √8 = 2.83 cm.
Answer: the legs of an isosceles right-angled triangle are 2.83 cm.
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