In the rectangle, the diagonal is 25, and one of the sides is 15. Find the legs of an isosceles right triangle that is equal to it.
May 15, 2021 | education
| Since the triangle ABC is rectangular, we determine the length of the leg AD by the Pythagorean theorem.
AD ^ 2 = BD ^ 2 – AB ^ 2 = 625 – 225 = 400.
АD ^ 2 = 20 cm.
Determine the area of the rectangle ABCD.
Savsd = AB * AD = 15 * 20 = 300 cm2.
Let’s define the legs of an isosceles triangle with an area of 300 cm2.
Let the legs of the triangle be equal to X cm.
Then X ^ 2/2 = 300 cm2.
X ^ 2 = 600.
X = √600 = 10 * √6 cm.
Answer: The legs of the triangle are 10 * √6 cm.
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