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Here time taken by both A and B is same, so the ratio of the distance covered by them will be equal to the ratio of their speeds. Therefore, ratio of the distance covered by A and B = 30:40 = 3:4 Let the distance covered by A and B be 3x km and 4x km respectively. According to question, => 4x – 3x = 35 => x = 35 Therefore, distance between them before starting = 4x + 3x = 7x = 245 km
A triangle XYZ is drawn inside a circle with a radius of 8 cm, such that its vertices lie on the circumference of the circle. Giv...
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
The area of an equilateral triangle increases by 16√3 square units when the length of each side is increased by 4 units. What is the original perimete...
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
Calculate the altitude of an equilateral triangle having each side of length 10√3 cm.
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.
...An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
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.
Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.