Is a triangle rectangular if its sides are 7 cm, 24 cm, and 25 cm?
| May 22, 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 right-angled.
Large side AB = 25 cm, then:
AB ^ 2 = 25 ^ 2 = 625.
(AC ^ 2 + BC ^ 2) = (24 ^ 2 + 7 ^ 2) = 576 + 49 = 625.
625 = 625, which means a rectangular triangle.
Answer: a triangle with sides 7 cm, 24 cm, and 25 cm rectangular.
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