27x3 + y3 = (3x + y) (9x2 + y2 – 3xy) = use (a + b)2 = a2 + b2 + 2ab = (3x + y)2 = ax2 + y2 + 6xy = (3x + y)2 = 37 + 6 × 2 = 49 = 3x + y = 7 = 27x3 + y3 = 7 × (37 – 3 × 2) = 27x3 + y3 = 7 × 31 = 217
The ratio of sides of a right angle triangle is 3 : 4 : 5 and area of the triangle is 72 square unit. Then the area of an equilateral triangle whose per...
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
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 a triangle, the angles are in the ratio 1:2:6. Determine the difference between the smallest and the largest angle.
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
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 a right-angled triangle, the length of the hypotenuse is 25 cm, and the perimeter is 60 cm. Find the area of the triangle.
The base of a pyramid is an equilateral triangle whose side is 8 cm. Is. Its (slant edge) is 24 cm. What is the total surface area (in cm²) of the pyra...
The perimeter of an equilateral triangle is 48√3 cm. Find its height.
The inner-radius of a triangle is 5 cm, and the sum of lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?
