2006-11-25 04:41:44 · 11 answers · asked by bglt 1 in Science & Mathematics ➔ Mathematics
rt of 70^2+35^2
=rt(4900+1225)
=rt6125
=78.26
2006-11-25 04:44:51 · answer #1 · answered by raj 7 · 0⤊ 0⤋
that's an utility of the Pythagoras theorem. A rectangle has all 4 angles equivalent to ninety levels and subsequently while a diagonal is drawn, you get 2 comparable proper angled triangles, with the diagonal because of the fact the hypotenuse. Now, the scale is given as 24cm n breadth is given as 10cm. so, making use of the pythagoras theorem, length of hypotenuse squared = sum of squares of the different 2 sides. consequently, length of diagonal^2 = 24^2 + 10^2 =576+a hundred=676. so, length of diagonal would be sqrt(676) = 26cm. consequently answer =26cm.
2016-12-13 14:02:47 · answer #2 · answered by ? 3 · 0⤊ 0⤋
Use the Pythogorean Theorem:
c^2 = a^2 + b^2
In this case a=70 and b=35
So c^2 = 70^2 + 35^2m = 4900 + 1225= 6125
So c = sqrt (6125) =sqrt(25*49*5) = 35*sqrt(5)
2006-11-25 04:50:52 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
think of the rectangle as two triangles. since you already have two of the side you can figure out the third (the diagonal) by using the Pythagorean theorem.
a^2+b^2=c^2
70^2 + 35^2 = 6125
c^2 = 6125
c = about 78.2624
2006-11-25 06:12:31 · answer #4 · answered by Anonymous · 0⤊ 0⤋
The diagonal can be seen as the HYPOTENUSE of the rectangle.
You need to use the formula a^2 + b^2 = c^2, where c is the hypotenuse.
a = 70
b = 35
c = We don't know, right?
70^2 + 35^2 = c^2
4900 + 1225 = c^2
We add the left side of the equation to get 6125.
With me so far?
Next: Take the square root of BOTH sides of the equation to find c. REMEMBER, c = the hypotenuse = your diagonal.
Got it?
6125 = c^2
The square root of 6125 is ABOUT 78.2624 = c.
So, the length of your diagonal is ABOUT 78.2624.
Guido
2006-11-25 04:51:50 · answer #5 · answered by Anonymous · 0⤊ 0⤋
diagonal^2= 70^2+35^2
=> diagonal^2=6125
=> diagonal = 78.26
2006-11-25 04:45:02 · answer #6 · answered by AlexisEd 2 · 0⤊ 0⤋
sqrt(70^2+35^2) = 78.3 about
2006-11-25 04:45:28 · answer #7 · answered by xian gaon 2 · 0⤊ 0⤋
to find the diagonal you have to use pythagreon theorum...
a^2+b^2=c^2
35^2+70^2=c^2
1225+4900=c^2
6125=c^2
take the square root of both sides
c=78.26
2006-11-25 04:51:36 · answer #8 · answered by Raven S 3 · 0⤊ 0⤋
d^2=70^2+35^2
d^2=4900+1225=6125
d=35*sqrt(5)=78.26
2006-11-25 05:11:49 · answer #9 · answered by yupchagee 7 · 0⤊ 0⤋
a^2+b^2=c^2
the diagnal is hypotenus
70^2+35^2=c^2
6125=c^2
c=78.262
2006-11-25 04:45:20 · answer #10 · answered by 7 · 0⤊ 0⤋