From Canoeville it is 2.4 kilometers to White Beach and 3.0 kilometers to the Lodge. How far is it from White Beach across the lake to the Lodge?
Not enough information, need some angles.
it has a triangle on the side of the question that's longest end is 40 the base is 25 and the other side i have to solve for.
You have only two bits of information.
Unless the triangle is right-angled, that is not enough.
Do you have a right-angled triangle?
Are you finding the hypotenuse?
IF so, then
h^2 = 40^2+25^2
h^2 = 2225
h = √2225 = appr 47.17 km
it is a right angle
ok, then
all done.
To find the distance from White Beach to the Lodge across the lake, we need to use the concept of the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can consider the distance from Canoeville to White Beach as one side of the triangle and the distance from Canoeville to the Lodge as the other side. The distance across the lake from White Beach to the Lodge will be the hypotenuse.
Using the Pythagorean theorem, we can set up the equation:
Distance from Canoeville to White Beach squared + Distance from Canoeville to the Lodge squared = Distance from White Beach to the Lodge squared
(2.4)^2 + (3.0)^2 = x^2
5.76 + 9 = x^2
14.76 = x^2
To find x, we need to take the square root of both sides:
√14.76 = √(x^2)
x ≈ 3.84 kilometers
Therefore, it is approximately 3.84 kilometers from White Beach across the lake to the Lodge.