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Which expression gives the area of the triangle shown below?
1/2rx
The slant height of a pyramid is 46 ft The base is a square with a side length of 24 ft What is the height of the pyramid Round your answer to the nearest tenth?
If there is a picture, it would be very useful, because the height and slant height are two sides of a right triangle. A good picture would show that the bottom side of this triangle is half the side length of the square. This is a leg of the right triangle: A=12' The hypotenuse of the triangle is the slant height: C=46' The "unknown" height is the other leg of the right triangle: B=? The pythagorean theorem A2+B2=C2 gives 144sqft+B2=2116sqft Solving for B gives B=44.4' Therefore, the height of the pyramid is 44.4 feet.
A triangle has sides measuring 2 inches and 7 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
5 < x < 9
A triangle has sides measuring 8 inches and 12 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
4 < x < 20
What is the slant height formula?
The slant height of a cone is given by the formula , where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.It is trivial to see why this formula holds true. If a right triangle is inscribed inside the cone, with one leg of the triangle being the line segment from the center of the circle to its radius, and the second leg of the triangle being from the apex of the cone to the center of the circle, then one leg will have length h, another leg will have length r, and by the Pythagorean Thereon, r2 + h2 = d2, and gives the length of the circle to the apex of the cone.
