Question
If the perimeter of a certain rectangle is 76 and its
area 360, then what is the length of its shortest side?Solution
Given, 2(l + b) = 76-----(1) l × b = 360-------(2) l(38 - l) = 360 38l - l2 = 36 l2 - 38l + 360 = 0 l2 - 18l - 20l + 360 = 0 (l - 18)(l - 20) = 0 l = 18, 20 Hence, smallest side = 18 unit
∆ABC and ∆DEF are similar and their areas are respectively 64 cm2 and 121 cm 2 . If EF = 15.4 cm BC is?
What will be inradius of a right angle triangle whose base is 28 cm & height is 45 cm ?
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If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?
∆ABC and ∆DEF are similar and their areas are respectively 25 cm2 and 36 cm 2 . If EF = 7.2 cm BC is?
A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?...
Find the difference between angle and its complement if the angle is five-thirteenth of its complement.
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
In a quadrilateral PQRS, the bisectors of ∠R and ∠S intersects each other at point 'O'. Find the ∠Q if ∠P = 75o and ∠ROS = 95...
If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ra...
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