Question
Average age of a class of 35 students is 15 years.
Average age of the class is increased by 18 months if the age of the teacher is included. Find the age of the teacher.Solution
Sum of the ages of all the students in the class = 35 × 15 = 525 years Sum of the ages of the students along with teacher = 36 × 16.5 = 594 years So the age of the teacher = 594 – 525 = 69 years
Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.
...If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
The base of a triangular plot is 25 meters, and its height is 30 meters. If a path of 2 meters wide is to be built around the plot, what will be the are...
If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the tr...
In a triangle, the lengths of two sides are 13 cm and 14 cm, and the included angle between them is 60°. Find the area of the triangle.
ABC is an equilateral triangle with sides of 24cm. Find the difference between its in-radius and circum-radius.
If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
What is the height of an equilateral triangle with a side length of 16√11 cm?
Relevant for Exams:
