Find the area of the largest triangle made in a semicircle of r cm radius?

If $$x=(\sqrt2+1)^{1\over3} $$, the value of $$(x^3-{1\over {x^3}}) $$ is

If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to-

X, Y and Z take 18 days to complete a piece of work. If X works alone he finishes the work in 36 days and if Y works alone he finishes it in 60 days. How long will it take Z to complete the work alone?

Find the difference between compound interest and simple interest on 5000 for 2 years at 8% p.a payable annually.

Vishal sells a bag at a profit of 40%. If Vishal's profit is ₹880, then what is the cost price of the bag?

If $$ a={{\sqrt{3}+\sqrt{2}}\over {\sqrt{3}-\sqrt{2}}}$$ and $$ b={{\sqrt{3}-\sqrt{2}}\over {\sqrt{3}+\sqrt{2}}}$$, then find the value  of $$ {a^2\over b}+{b^2\over a}=?$$

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm³, then its lateral surface area ( in cm²) is: