![]() surface area, and surface area of the base of a hexagonal prism. In this particular case, we're using the law of sines. The prisms are named after the bases polygon: Triangle Triangular prism Square. Example 2: Find the base area of the triangular prism whose base triangle has the length of the sides a 3 units, b 4 units, and c 5 units. Answer: Base area of the given triangular prism 120 square units. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(Angle β) × sin(Angle γ) / (2 × sin(Angle β + Angle γ)) Base area of the given triangular prism 1/2 × Base length × Height of the base triangle 1/2 × 60 × 40 120 square units. We're diving even deeper into math's secrets! □ In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² - (2 × b × a × cos(Angle γ)))) + a × b × sin(Angle γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: Now it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base This can be calculated using the Heron's formula:īase area = 0.25 × √, We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area. ![]() Solution: As we know, the lateral surface area of a triangular prism is (s1 + s2 + s3) × l. For example, find the lateral surface area of a triangular prism with an equilateral triangular base of 6.5 cm, and length is 10.5 cm. Choose the ▲ 2 angles + side between optionĢ. represent the two edges of the base triangle.If you're given 2 angles and only one side between them If they give you two sides and an angle between them Input all three sides wherever you want (a, b, c). So, the surface area of a triangular prism with a base having sides measuring 6, 5, and 4 centimeters in length, and a height measuring 9.If they gave you all three sides of a triangle – you're the lucky one! You can input any two given sides of the triangle – be careful and check which ones of them touch the right angle (a, b) and which one doesn't (c).This shape has a square base with 4 4 triangular sides. ![]() A triangular prism has 2 2 triangular faces on the ends that are connected by three rectangles faces. Look for the characteristics of a triangular prism. You need to pick the ◣ right triangle option (this option serves as the surface area of a right triangular prism calculator) Look at the shape below and determine if it is a triangular prism or not.If only two sides of a triangle are given, it usually means that your triangular face is a right triangle (a triangle that has a right angle = 90° between two of its sides). Find all the information regarding the triangular face that is present in your query: ![]()
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