![]() ![]() The formula to find the height of the altitude of the isosceles triangle is based on the pythagorean formula of hypotenuse squared is equal to the sum of each leg squared. Algebra: equation of a circle Video 12 Practice Questions Textbook Exercise. The diagram shown below should help you to visualize what i just said above. Let’s put them into the formula and solve for surface area, SA. The total surface area of your triangular prism is therefore equal to 1200 + 216 = 1416 square cm. What is the surface area of this triangular prism To gure this out, we have all of the measurements we need. You have 2 bases for a total surface area of 216 for the bases. The area of each of your isosceles triangles is equal to 1/2 * 18 * 12 = 9 * 12 = 108 square cm. The height of your isosceles triangle is equal to 12. H^2 + 9^2 = 15^2 which becomes h^2 + 81 = 225 which becomes h^2 = 225 - 81 which becomes h^2 = 144 which gets you h = 12 once you take the square root of both sides of that equation. You can use the pythagorean formula to find the height of the perpendicular. If you drop a perpendicular from the vertex opposite the base of the isosceles triangle, it will divide the base of the isosceles triangle into 2 equal parts.Įach side of that perpendicular will form a right triangle with a hypotenuse of 15 and a base of 9. ![]() The height of the isosceles triangle needs to be determined. This means 1/2 * the base times the height. The area of a triangle is equal to 1/2 * b * h. The area of each of the bases requires a little more work. The total surface area of the faces will be: The formula for the area of a triangle is equal to 1/2 * the base of the triangle * the height of the triangle.įinding the surface area of each face of the prism is fairly easy.Ģ of the faces will have a width of 15 cm.ġ of the faces will have a width of 18 cm. You need to find the area of each of the vertical faces of the prism plus the area of each of the bases of the prism. You are also given that the height of the prism is 25 cm.Īpparently you are looking for the surface area of the prism. The triangle is isosceles and required the use of Pythagoras theorem to find the perpendicular height. The formula to calculate the surface area of a triangular prism is SA 2B + P h. The surface area of a triangular prism can be calculated by adding the base area and its lateral faces. The measurements of these triangles uniformly classify the shape as isosceles and sometimes equilateral. You are given that each base has sides of 15 cm, 15 cm, and 18 cm. This is a junior maths example of finding the surface area of a triangular prism. In Geometry, the triangular prism is defined as a prism which has two congruent triangles where the bases are connected by the three rectangular lateral faces. The bases of the isosceles prism are connected by vertical lines emanating from each vertex of the corresponding angle of each base. You can put this solution on YOUR website!Īn isosceles prism is a solid figure that has an isosceles triangle as its base. ![]()
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