The sides of a triangle are 𝑝, 𝑝 + 1, 2𝑝 − 1 and its area is 2𝑝√10. What is the value of 𝑝?
Question
Solution 1
To solve this problem, we can use Heron's formula for the area of a triangle, which states that the area of a triangle with sides of length a, b, and c is √[s(s - a)(s - b)(s - c)], where s is the semi-perimeter of the triangle, given by (a + b + c) / 2.
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