![]() ![]() So 100 plus 225 is 325.Īnd now we need to square-root both sides, which is about 18.03. And we can call the hypotenuse □, because the Pythagorean theorem states the square of the longest side, the one across from the 90-degree angle, is equal to the sum of the squares of the shorter sides, the 10 and 15. So we can use the Pythagorean theorem to find it.ġ0 and 15 would be the legs. But we do know we have a right triangle with sides 10 and 15. And that’s a 16 by - we actually don’t know that length. We also need to find the area of this rectangle. So the area that we need to find will be this rectangle, which is a 10 by 16, because we know this length is 16. So the lateral area will be the area of the sides excluding the top and bottom, which are the bases, the triangles. So here we have the triangles as our bases. And the bases are what distinguish what kind of prism it is. This is a triangular prism.Ī prism is made up of rectangles and its two bases. So here it’s not the top and bottom because the bottom actually isn’t the base. Lateral area is the surface area of the sides excluding the top and bottom. Radius, as a word, is shorter than diameter which supported my reminder that the radius is half of its diameter.Find the lateral area of the given prism to the nearest square centimeter. When working with cylinders, students may confuse the diameter and the radius.This can be so confusing! Avoid using the words “height” or “base” without saying “height of the triangle” or “height of the prism.” Base is now and forever “area of the base” and always solved first separately. ![]() With triangular prisms, there are so many heights and so many bases. ![]() Height is perpendicular to the base no matter where the base sits.
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