The long diagonal will be sqrt(7500) cm = 86.60 cm (to 2 dp)
Using Pythagoras' theorem the length of the diagonal is 20 feet
The length of the diagonal of a square whose side lengths are 7 square root 2 (9.89949494) is: 14 units.
13 57/64 "
Firstly you need to work out the length of a side. Using Pythagorean Theorem for a right angled triangle a2+b2=c2 where a = the length, b = height & c = diagonal since c = 8 and a = b are the same 2a2 = 64 a2 = 32 a = 5.657 cm since the area of the square is a2 then area = 32cm2
9 cm * 4 cm * 7cm = 252 cm3
the equation is L^2= w^2 + h^2 + l^2 where L= length of diagonal, w=width, h=height, and l= length, L= sqrt( (30)^2 + (24)^2 + (18)^2)= (approx) 42.2 cm
The square's diagonal is 11.314 cm
Using Pythagoras' theorem the length of the diagonal is 20 feet
The length of the diagonal of a square whose side lengths are 7 square root 2 (9.89949494) is: 14 units.
13 57/64 "
Using Pythagoras's theorem, you will find that the diagonal is sqrt(2) = 1.4142 cm (approx),
13 ft
Rhombus Area = side x height = 6 cm x 4 cm = 24 cm2In the right triangle formed by the side and the height of the rhombus, we have:sin (angle opposite to the height) = height/side = 4 cm/6cm = 2/3, so thatthe angle measure = sin-1 (2/3) ≈ 41.8⁰.In the triangle formed by two adjacent sides and the required diagonal, which is opposite to the angle of 41.8⁰ of the rhombus, we have: (use the Law of Cosines)diagonal length = √[62 + 62 -2(6)(6)cos 41.8⁰] ≈ 4.3Thus, the length of the other diagonal of the rhombus is about 4.3 cm long.
Easiest thing to do here would be to draw a diagram and label the sides with their lengths and draw a line for the diagonal. You can see the diagonal forms part of a right-angled triangle, with its shorter lengths 35 cm and 12 cm. So using Pythagoras's Theorem, x2 = 352 + 122 = 1369 x = square root of 1369 = 37 cm.
Firstly you need to work out the length of a side. Using Pythagorean Theorem for a right angled triangle a2+b2=c2 where a = the length, b = height & c = diagonal since c = 8 and a = b are the same 2a2 = 64 a2 = 32 a = 5.657 cm since the area of the square is a2 then area = 32cm2
4
9 cm * 4 cm * 7cm = 252 cm3