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The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is Correct Answer $$\frac{{\sqrt {4{{\text{p}}^2} - {{\text{q}}^2}} }}{6}$$

Related Questions

Consider the following statements : I. Every equilateral triangle is necessarily an isosceles triangle. II. Every right-angled triangle is necessarily an isosceles triangle. III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle. The correct statements are:
Consider the following statements :I. Every equilateral triangle is necessarily an isosceles triangle.II. Every right-angled triangle is necessarily an isosceles triangle.III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.The correct statements are:
The given question consists of three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and answer the question. What is the area of an isosceles triangle? I. Perimeter of isosceles triangle is 28 m. II. Base of the triangle is 18 m. III. Height of the triangle is 13 m.
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues uptofive times. What is the ratio of the area of fourth triangle to that of sixth triangle? (Original triangle is counted as 1st triangle)
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Chinky have 5 drawing pins J,U,C,B and G. When he pin up the pins J,U and C on a soft board it takes a shape of an isosceles triangle JUC right angled at U. Then he pin up the pins B and G on the exterior of triangle, such that two similar triangle JCB and JUG are constructed on sides JC and JU. What is the ratio between the areas of triangle JUG and JCB.
Study the given information carefully and answer the question that follows. Colleagues Karna, Michelli, Prabhu, Vanaja, Mohan, Raghu, Jockey and Neelima are sitting around a square table in such way that four of them sit at corners and four of them at the middle of the sides. The ones who sit at the corners face outside (opposite to the centre) and the ones who sit at the middle of the sides face towards centre. Vanaja is seated third to the right of Jockey. Vanaja faces towards the centre. Mohan is third to the left of Prabhu. Prabhu is not sitting at middle of any of the sides. Only one person sits between Mohan and Raghu. Raghu is not an immediate neighbour of Prabhu. Neelima faces towards the centre. Karna is not an immediate neighbour of Raghu. Who is an immediate neighbour of both Mohan and Raghu?
The base of a regular right pyramid is a square and each of the other four sides is an isosceles triangle. The length of each side of the base is 10 cm. If the total surface area and base area are in the ratio 2 : 1. What is the length of the equal side of the triangle?
In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question.  Find the area of the Triangle ABC Statement I∶ Perimeter of the triangle is 100. Statement II∶ Sum of the largest and smallest side of the triangle is 73. Statement III∶ The triangle is an isosceles triangle.
A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?