SOLUTION: 1. )Find the length of the diagonal of a rectangle whose sides are 24 cm and 35 cm. 2.) Solve for the area of a square whose diagonal is 16 √2 cm long. 3. What is the area

Algebra ->  Rectangles -> SOLUTION: 1. )Find the length of the diagonal of a rectangle whose sides are 24 cm and 35 cm. 2.) Solve for the area of a square whose diagonal is 16 √2 cm long. 3. What is the area       Log On


   

Question 626939: 1. )Find the length of the diagonal of a rectangle whose sides are 24 cm and 35 cm.
2.) Solve for the area of a square whose diagonal is 16 √2 cm long.
3. What is the area of a right triangle if the hypotenuse is 35 cm and the shorter leg is 21 cm.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
1) Diagonal+=+sqrt%28Length%5E2+%2B+Width%5E2%29=sqrt%2824%5E2%2B35%5E2%29=42.44+cm

2) Diagonal of the square of side a is a%2Asqrt%282%29.
If the diagonal of the square is 16%2Asqrt%282%29 then a=16.
Hence, area of the square is 16%5E2+=+256cm%5E2.

3) Use Pythagoras theorem again, the longer side is 28 cm.