![]() Isosceles triangle bh2+a24tan1(2ha)S12ah b h 2 + a 2 4 t a n. Then with some algebra you can find out if your result is true or false. Next you must find out how to turn the isosceles triangle into multiple right triangles to use this definition. ![]() Thus, using this can also help us to find the height of an isosceles triangle. Calculates the other elements of an isosceles triangle from the selected elements. If you recall the definition, for a right triangle, of \sin (\theta) opposite side of triangle / hypotenuse for right triangles. Where, $l,b,h$ are the length, base, and height of the triangle respectivelyĪlso, we used the Pythagoras theorem because the height of a triangle is always perpendicular to the base and thus, divides the triangle into two right congruent triangles. EXAMPLE 1 What is the height of an isosceles triangle that has a base of 8 m and congruent sides of length 6 m Solution EXAMPLE 2 An isosceles triangle has a base of 10 m and congruent sides of length 12 m. Hence, in order to find the height, we can use the Pythagoras theorem, hence, we will get: Therefore, in order to calculate the height of an isosceles triangle, we can multiply the area of the triangle by 2 and divide the product by the base of the triangle to find the required height.Īn alternate way of finding the height of an isosceles triangle is:Īs we know, the height of an isosceles triangle splits the entire triangle into two congruent triangles. Here, multiplying both sides by 2 and then, dividing both sides by $b$, we get, We will then substitute the known area and base to find the required height of the isosceles triangle.Īrea of triangle, $A = \dfrac \times b \times h$ We will use the definition of an isosceles triangle and the method of calculating the area of a triangle. ![]() ![]() Giving your answers correct to 1 decimal place, calculate: (a) the length, x cm. Hint: Here, we are required to calculate the height of an isosceles triangle. An isosceles triangle has a base of length 4 cm and perpendicular height 8 cm. ![]()
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