Question
If perpendicular and base of a right-angle triangle are
6 cm and 8 cm respectively, then find the length of the shortest median of triangle.Solution
Using Pythagoras theorem, (Perpendicular)² + (Base)² = (Hypotenuse)² Or, 6² + 8² = (Hypotenuse)² Or, (Hypotenuse)² = 36 + 64 = 100 Since the hypotenuse cannot be negative, So, Hypotenuse = 10 cm Shortest median of a right-angle triangle = Circumradius = (Hypotenuse/2) = (10/2) = 5 cm Hence, option B.
If x + y + z = 6, and x3 + y3 + z3 = 36, xyz = 6 then find (xy +yz + zx)?
Solve: 5 – 3x > 2x + 10
If √b + (1/√b) = 11, then find the value of b + (1/b).
- If [x + (1/x)] = 7, find the value of [x⁴ + (1/x⁴)].
The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π =...
If
= -2 then find A shopkeeper marked his article 25% above its cost price and offered a discount of 30%. If cost price of the article is Rs. 560, then find profit or los...
Calculate the value of the expression: {2 X (P3 - Q3) - 30 X P X Q} if (P - Q) = 6 and (P2 + Q2) = 80
= ?
Relevant for Exams:
