![]() Substituting the height and base into the formula for area gives us: Area of triangle = 1/2 x 6 x 4 = 12. By Pythagoras' Theorem, 5 2 = 3 2 + height 2, therefore height 2 = 16 and so height = 4. Ask Question Asked 6 years, 2 months ago. To find the height, we can split our isosceles into two identical right angled triangles whose hypotenuse (the side opposite to the right angle) has length 5 and the base has length 1/2 x 6 = 3. Maximum area of isosceles triangle with perimeter 6 cm. We know that the base = 6, but don't know the height yet. Area of a triangle = 1/2 x base x height. How long is a third side Iso triangle An isosceles triangle with a base of 8 cm. QuizQ An isosceles triangle has two sides of length 7 km and 39 km. Therefore, the base has length x + 4 = 2 + 4 = 6, and the other sides have length x + 3 = 2 + 3 = 5.Now that we know what the actual lengths of each side are, we need to calculate the area. Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm. 'b' is the distance along the base 'h' is the height (measured at right angles to the base) Area × b × h The formula works for all triangles. We are told that the perimeter is equal to 16, so setting the equation equal to 16 gives 3x + 10 = 16, meaning that 3x = 6 and so x = 2. The perimeter is the distance around the edge of the triangle: just add up the three sides: Area The area is half of the base times height. The perimeter of a shape is the sum of the length of all of its sides, so the perimeter of this isosceles is x + 4 + 2(x + 3) = x + 4 + 2x + 6 = 3x +10.
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