Question
Speed of a car and a bus is 20 km/h and 12 km/h,
respectively. If the time taken by the car to cover a distance of ‘8x’ km is 1 hour less than time taken by the bus to cover a distance of ‘6x’ km, then find the value of ‘8x’Solution
According to the question, (6x/12) – (8x/20) = 1 Or, (6x × 5 – 8x × 3) ÷ 60 = 1 Or, (30x – 24x) ÷ 60 = 1 So, x = 10 Required value = 8 × 10 = 80
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If perpendicular and base of a right-angle triangle is, 18 cm and 24 cm, respectively, then find the length of the shortest median of triangle.
If perpendicular and base of a right-angle triangle is, 14 cm and 48 cm, respectively, then find the length of the shortest median of triangle.
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
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If perpendicular and base of a right-angle triangle is, 6 cm and 8 cm, respectively, then find the length of the shortest median of triangle.
Two triangles ABC and PQR are similar. The area of ΔABC is 81 cm² and the area of ΔPQR is 144 cm². If side AB = 9 cm and the corresponding side in �...
In triangle ABC, the vertices are A(1, 2), B(7, 4) and C(4, 8). Find the coordinates of the centroid of the triangle.
Triangle ABC is similar to triangle DEF. For triangle ABC, sides are AB = 6 cm, BC = 8 cm, CA = 10 cm. If DE corresponds to AB and DE = 9 cm, find the ...
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