pre calculus

The base of an Isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base.
the answer is:
A=a^2times the square root of 15
How did they get this answer? Thanks!

  1. 👍 1
  2. 👎 0
  3. 👁 674
  1. The area of a triangle is half its base times its vertical height. Call the base a. Now: you know that the other two sides are twice as long as that, so they're each 2a. What you need to find out now is the vertical height - so think of your isosceles triangle as two right-angled triangles back-to-back. You've got the base of each one (a/2), and you've got the hypoteneuse (2a). Can you now work out the height?

    1. 👍 0
    2. 👎 0
  2. After you have the height, though, what do you do?

    1. 👍 0
    2. 👎 0
  3. Yes,what do you do at that point? then you have the height as 4, but where does the 15 come in?

    1. 👍 0
    2. 👎 0
  4. The length of the base of an isososeles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 62in, what is the lengthof the base?

    What is the formula to work this?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    An isosceles triangle has at least two congruent sides.the perimeter of a certain isosceles triangle is at most 12in. The length of each of the two congruent sides is 5in . What are possible lengths of the remaining side? A.s

  2. algebra

    This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

  3. geometry

    The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle.

  4. geometry

    Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long. a. Find the length of a leg of the triangle b. Find the altitude of the triangle c. What is the area of the triangle?

  1. Geometry

    An isosceles right triangle has an area of 98cm squared. Find the length of each leg. The formula of finding the area of a triangle with one right angle is: (b x h)/2 You know that an isoceles triangles has two equal sides. Those

  2. algebra

    The figures in the pair are similar. Find the missing length. The image is of two proportionate isosceles triangles with vertical bases. One triangle has its base marked as 6 cm and two sides as 4 cm and 4 cm respectively. The

  3. math

    The base of an isosceles triangle is 4/3 cm.the perimeter of the triangle is 4 2/15cm. What is the length of either of the remaining equal sides

  4. geometry

    the diagram below shoes a pennant in the shape of an isosceles triangle. the equal sides each measure 13, the altitude is x+7 and the base is 2x.

  1. Geometry

    A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular as shown. The base of the triangle is 22 meters long Both angles on either side connecting the base to

  2. Math

    ONe of the equal sides of an isosceles triangle is 3m less than twice its base. the perimeter is 44m. find the lengths of the sides. i need help with getting the forumula for this problem thanks


    Which statement is contrapositive of the conditional: If a triangle is isosceles, then it has 2 congruent sides. 1. If a triangle does not have 2 congruent sides, then it is not isosceles. 2. If a triangle is isosceles, then it

  4. Algebra 2

    The base of an isosceles triangle is 1/4 as long as the two equal sides. Write the area of the triangle as a function of the length of the base.

You can view more similar questions or ask a new question.