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x2 − x + 1 = 0 αβ = 1 α + β =1 cubing on both sides α3 + β3 + 3αβ(α + β) = 1 α3 + β3 + 3 ∗ 1(1 ) = 1 α3 + β3 = -2 α3 β3 = 1 Sum of the roots=-2 product=1 Required equation is x2 + 2x + 1 = 0
In a right-angled triangle, the length of the hypotenuse is 25 cm, and the perimeter is 60 cm. Find the area of the triangle.
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
The side of an equilateral triangle is 15 cm long. What is the radius of the circle circumscribing this equilateral triangle?
In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value of ∠F?
The smallest side of a right-angled triangle is 7 cm less than the side of a square of perimeter 76 cm. The second largest side of the right-angled tria...
In an equilateral triangle, the length of the side is 18 cm. A circle is inscribed in the triangle. Find the radius of the circle.
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?
In a triangle ABC, the lengths of sides AB, BC, and AC are 13 cm, 14 cm, and 15 cm, respectively. Find the area of the triangle.
If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)