Is a triangle right-angled if its sides are 10,24,26.
| February 17, 2021 | education
To determine the type of triangle, we will use the Pythagorean theorem.
If the Pythagorean theorem is true, and the square of the larger side of the triangle is equal to the sum of the squares of the two smaller sides, then the triangle is rectangular.
Big side AB = 26 cm, then:
AB ^ 2 = 26 ^ 2 = 676.
(AC ^ 2 + BC ^ 2) = (24 ^ 2 + 10 ^ 2) = 576 + 100 = 676.
676 = 676, which means a rectangular triangle.
Answer: a triangle with sides of 10 cm, 24 cm, and 26 cm is rectangular.
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