Easy grade 8 math question?

Question

This question is using the pythagorean theorem
i don't really understand this question so please help me.

The base of the Pyramid of Khufu is a square with sides 230 m long. Calculate the length of the diagonal of this square, to the nearest tenth of a metre

Please show your work =(. So hard i don't understands.

And also this question

An RCMP patrol boat left Long Beach, British Columbia, and sailed west for 2 h at 15 km/h, then north for 2h and 20 km/h, then east for 1 h at 10 km/h. How far was the patrol boat from Long Beach, to the nearest tenth of a kilometre

Answer 1

Length of Diagonal = SQRT(230*230 + 230*230)

From A^2 + B^2 = C^2
Where C^2 is the diagonal, that is pythagorean theorum

SQRT(A^2 + B^2) = C.

So

C = SQRT(A^2 + B^2)

One side is A, and other Is B

A^2 is the same as 230^2 which is also 230*230, do the same for B^2
Length of Diagonal = SQRT(230*230 + 230*230)

Length of Diagonal = SQRT(52900 + 52900)

Length of Diagonal = SQRT(105800)

Length of Diagonal = 325.269

Which Rounds to 325.3 Meters

Answer 2

Easy grade 8 math question?
This question is using the Pythagorean theorem
i don't really understand this question so please help me.

The base of the Pyramid of Khufu is a square with sides 230 m long. Calculate the length of the diagonal of this square, to the nearest tenth of a metre

this is a right isosceles triangle.
the diagonal d=s*√2=230√2=325.3m




An RCMP patrol boat left Long Beach, British Columbia, and sailed west for 2 h at 15 km/h, then north for 2h and 20 km/h, then east for 1 h at 10 km/h. How far was the patrol boat from Long Beach, to the nearest tenth of a kilometre

west 2*15=30km
north 2*20=40km
this is a right triangle with legs 30 km & 40 km. The answer you want is the hypotenuse

h^2=30^2+40^2=900+1600=2500
h=50 km

Answer 3

The pythagorean thereom says that a^2 + b^2 = c^2. What this really means is (side 1)^2 + (side 2)^2 = (the hypotenuse)^2. The hypotenuse would be the "diagonal" part of a right triangle.

Since a square has equal sides, both side a and side b will equal the same value, 230 m.

So...let a = 230 m; let b = 230 m. Now all we have to do is plug it into the equation:

(230)^2 + (230)^2 = c^2

Square both the terms on the left hand side:

52,900 + 52,900 = c^2

Simplify the equation by adding both of the values on the left hand side:

105,800 = c^2

To undo a square, you take the square root. So to solve for side c (the hypotenuse or diagonal side) you need to take the square root of the left hand side in the above expression:

c = sqrt(105,800)

Punch this into a calculator and you get:

c = 325.2691 m.

But since the problem asks for the answer to the nearest tenth, we can round and say that the answer is 325.3 meters.

Hope this helps! :) Good luck!!!

Answer 4

Simple answer.....

You have a square, so all 4 sides are 230 m.

Now, you just have to draw a diagonal like across the square. This line is called a hypotenuse. It is the longest side of an obtuse or isosceles triangle. [An equilateral triangle also fits into this theorem - it just has 3 sides of equal length.]

Pythagorean theorem states that if you have:
Side A
Side B
Side C (the hypotenuse, the long side)

Then if you square Side A and Side B, then add them together, you'll get Side C SQUARED.

Example:

Let's pretend that I have a square with sides 5 meters long.
When I draw a diagonal line, I of course have two triangles now.

So, if I use Pythagorean theorem,
Side A = 5 meters
Side B = 5 meters
Side C = what I'm looking for.

So.... (Side A)x(Side A) + (Side B)x(Side B) = (Side C)x(Side C)

Filling in,

(5)x(5) + (5)x(5) = 25 + 25 = 50

Now, 50 is Side C squared, so you have to take the square root of 50. You do this by typing 50 into your calculator, then pressing the square root button.

The answer in this case is 7.07 (rounded off.)

All you have to do with your question is replace my values of A and B with your values of A and B. Square each of them first, then add them together. Finally, take the square root, and you're there.

Good luck!

Answer 5

Since it's a square all sides are equal. So draw a diagonal across the square; this splits up the square into two right triangles.

Two sides of the triangle are 230 m and the longest side is the diagonal.

a^2+b^2=c^2

Where a=230, b=230, and c is the diagonal. Plug it in and solve for c.

Answer 6

i'm in 8th grade but is doing 9th grade math i think i can help you?
your formula is A squared+B squared=C squared
you have one square and if you split that into 2 equal parts then you have 2 triangles
square both of the 2 sides(230m)=52,900+52,900=105,800m
find the square root and you should get:
460
-or-
add 2 of the square's sides 2 get the answer
230+230=460

Answer 7

40 8 tablespoons. it is going to be obtrusive that 3/4 cases 4 equals 3. So, in basic terms multiply 12 by applying 4 to get 40 8. 12 cases 4 must be obtrusive considering that is uncomplicated multiplication. that's straight forward psychological math, -JASON OLLER eighth GRADE pupil LOUISIANA

Answer 8

since this is square all sides are equal

230^2 + 230^2 = c^2
2(230^2) = c^2
c = 230sqrt(2)

about 325.3m

Answer 9

hypo^2=side1^2+side2^2

so hypo^2=2*230^2

so hypo=325.27

where hypo=the hypotenuse of the triange that is half the base of the squre (so equal to its diagonal)

^ symbol is exponent

Answer 10

i am in 8th grade i dont get the question either