When two trains cross each other, they cover distance equal to the sum of their lengths with relative speed. Let's take length of each train = x So, total length of both trains = 2x Relative speed = (110 – 50) × (5/18) = 50/3 m/sec. ∴ Total length = Time × Relative speed ⇒ 2x = (30 × 50)/3 ⇒ x = 250 m
In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
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 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.
A kite is in the shape of a square with a diagonal 24cm. attached to an equilateral triangle of the base 6cm. How much paper has been used to make it?
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.
A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
The perimeter of an equilateral triangle is 48√3 cm. Find its height.
In a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠ BAC = 75°, what is the measure of &...
ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from C on AB. If a, b and c are the lengths of the sides BC, ...
