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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.
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $$I$$P) is given by (where, A = Area of the section, $$I$$G = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $${I_{\text{P}}}$$) is given by (where, A = Area of the section, $${I_{\text{G}}}$$ = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)
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?
Which two classes use the Shape class correctly?
A. public class Circle implements Shape { private int radius; }B. public abstract class Circle extends Shape { private int radius; }C. public class Circle extends Shape { private int radius; public void draw(); }D. public abstract class Circle implements Shape { private int radius; public void draw(); }E. public class Circle extends Shape { private int radius; public void draw() { /* code here */ } }F. public abstract class Circle implements Shape { private int radius; public void draw() { /* code here */ } }
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.
The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. A triangle is circumscribed by a circle. What is the perimeter of the triangle? Statement I. The circumference of the circle is 14π cm. Statement II. The triangle is an isosceles triangle. Statement III. The largest side of the triangle is the diameter of the circle.
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.