The length of the base is equal to two times the square root of the height squared plus half the length of the equal sides squared. You can use the Pythagorean theorem to calculate the length of the base. How do you find the length of the base of an isosceles triangle if you only know the length of the equal sides and the height? The most common method is to use the sine of half the vertex angle, which is equal to the height divided by half the length of the base. You can use trigonometric functions to calculate the height of the triangle. How do you find the height of an isosceles triangle if you only know the length of the equal sides? For other types of triangles, you need to use different formulas. No, the formula can only be used for isosceles triangles. FAQs: Can you use the area of isosceles triangle formula for any type of triangle? Therefore, the area of the isosceles triangle is 48 square centimeters. 3) Find the area of an isosceles triangle with a base of 16 cm and legs of 10 cm. Therefore, the area of the isosceles triangle is approximately 40.249 square inches. 2) Find the area of an isosceles triangle with a base of 12 inches and legs of 9 inches. Therefore, the area of the isosceles triangle is 30 square centimeters. Now we can substitute these values into the formula for the area: Since the triangle is isosceles, we know that the height bisects the base, so we can find the height by using the Pythagorean theorem: Using the formula for the area of a triangle: Solve Examples: 1) Find the area of an isosceles triangle with a base of 10 cm and legs of 8 cm. Pyramids: The base of a pyramid is often an isosceles triangle, which allows for stability and balance in the structure. Perimeter and Area of a Triangle with Mixed Numbers Mathispower4u 266K subscribers Subscribe 32K views 4 years ago Perimeter and Area This video explains how to determine the perimeter and.Construction: Isosceles triangles are used in construction to create stable and secure structures, such as bridges and towers.Roof Design: Isosceles triangles are often used in roof design, as they allow for a sloping roof that is symmetrical and visually appealing.Isosceles triangles have many real-world applications, including: Real-World Applications of Isosceles Triangle: Vertex angle: The angle opposite the base of the triangle is called the vertex angle, and it is the angle between the two equal sides.Base angles: The two angles that are adjacent to the base of the triangle are equal in measure.Two equal angles: The angles opposite the equal sides of an isosceles triangle are equal in measure.One unequal side: The third side of an isosceles triangle is of a different length than the other two sides.Two equal sides: An isosceles triangle has two sides that are equal in length.The properties of an isosceles triangle include: If this is the case with an isosceles triangle then it forms an obtuse-angled triangle too.Where l is the length of one of the equal sides of the triangle. Is an isosceles triangle an example of an obtuse-angled triangle? – The basic rule for an obtuse angle triangle is that at least one angle should be greater than 90-degrees. For this purpose, you must be sure of the properties of the different type of triangles and check them one by one to satisfy a particular condition. If all three angles of an isosceles triangle are less than 90-degree then it forms an acute-angled triangle otherwise not.
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