In a right angle triangle AC = 1, Angle B = 90° and Angle A = 15° Find the area of the triangle ABC.
1/4 square units
1/8 square units
What's the length of largest equilateral triangle that can be inscribed in an equilateral triangle of side length 1?
(3,-2), (12,4) and (-3,7) are the three vertices of a triangle. Then the distance between the orthocenter and circumcenter of this triangle is-
In a circle of radius r units, six points equally spaced are placed on the circumference. ΔABC is formed by joining three points such that ΔABC is neither isosceles nor equilateral. What is the area of ΔABC?
- A boat, stationed at the North of a lighthouse, is making an angle of 30° with the top of the
lighthouse. Simultaneously, another boat, stationed at the East of the same lighthouse, is making an angle
of 45° with the top of the lighthouse. What will be the shortest distance between these two boats? The
height of the lighthouse is 300 feet. Assume both the boats are of negligible dimensions.
1) 300 feet
2) 600/√3 feet
3) 300√3 feet
4) 600 feet
5) None of the above
Hotel trinity grand has a triangular terrace with sides 20m, 34m and 42m. A square shaped swimming pool is to be constructed such that one of its sides coincides with the largest side of the terrace and two vertices of the swimming pool touch other two sides of the terrace.
Q1. what is the perimeter of the pool?
Q2. What is the sum of the perimeters of the three triangular regions which are not covered by the pool?
Q3. what is the area of the terrace?