Practicing Success
A triangle has sides 25, 39, 34 units. If the area of a square exceeds the area of this triangle by 21 units, then the side of the square is: |
22 units 21 units 18 units 25 units |
21 units |
We know that, Area of a triangle = \(\sqrt {s(s-a)(s-b)(s-c) }\) and semi perimeter = \(\frac{a + b + c}{2}\) Sides of triangle = 25, 39 and 34 units. a = 25 b = 39 c = 34 Area of square is more than that of triangle = 21 units Semi perimeter = \(\frac{25 + 39 + 34}{2}\) = 49 Area of a triangle = \(\sqrt {49(49-25)(49-39)(49-34)}\) = \(\sqrt {49(24)(10)(15)}\) = \(\sqrt {176400}\) = 420 Area of square = 420 + 21 = 441 Side of square = \(\sqrt {441}\) = 21 unit |