How many miles long is the base of the square pyramid? Click Here for Help Video.
there is a pyrimid and inside of the pyramid there is a right triangle and we know that the side that is going striaght up is 35 mi and the slantied part of the right triangle is 37 mi they want you to find the bottom length
(1 point)
The base of the square pyramid is
miles.
To find the length of the base of the square pyramid, we need to use the Pythagorean theorem.
According to the given information, the vertical side of the right triangle (the height of the pyramid) is 35 mi, and the slanted side (the slant height of the pyramid) is 37 mi.
Let's label the length of the base of the triangle as x. Using the Pythagorean theorem, we have:
x^2 = 37^2 - 35^2
x^2 = 1369 - 1225
x^2 = 144
x = √144
x = 12
Therefore, the length of the base of the square pyramid is 12 miles.
To find the length of the base of the square pyramid, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the slanted side) is equal to the sum of the squares of the other two sides.
In this case, we have a right triangle inside the pyramid where one side is the vertical side (35 miles) and the hypotenuse is the slanted side (37 miles). We need to find the length of the other side, which is the bottom length of the base of the pyramid.
Using the Pythagorean Theorem, we can set up the equation:
(35 miles)^2 + b^2 = (37 miles)^2
Simplifying the equation:
1225 miles^2 + b^2 = 1369 miles^2
Rearranging the equation:
b^2 = 1369 miles^2 - 1225 miles^2
b^2 = 144 miles^2
To solve for b, we take the square root of both sides of the equation:
b = √(144 miles^2)
b = 12 miles
Therefore, the base of the square pyramid is 12 miles long.
To find the length of the base of the square pyramid, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the side going straight up is 35 miles (let's call it side A), and the slanted side is 37 miles (let's call it side B). We want to find the length of the base of the pyramid (let's call it side C).
Applying the Pythagorean theorem, we have:
A^2 + B^2 = C^2
35^2 + B^2 = 37^2
1225 + B^2 = 1369
To isolate B^2, subtract 1225 from both sides:
B^2 = 1369 - 1225
B^2 = 144
Now, take the square root of both sides to find B:
B = sqrt(144)
B = 12
Thus, the length of the base of the square pyramid is 12 miles.