Geometry

posted by .

Compute the area of a triangle with sides.

15 × 15 × 18

a = How many square units?

  • Geometry -

    There is a formula for the area of a triangle in terms of the side lengths.

    Don't ask me to derive it. Here it is:

    Let s = (a +b +c)/2
    a,b and c are the side lengths.
    For your triangle, s = 24

    Area = sqrt[s*(s-a)*(s-b)*(s-c)]
    = sqrt[24*9*9*6) = 108 square units

    Check: Your triangle is isosceles and if you drop a line from the apex to the middle of the base, you have two
    9:12:15 right triangles. The area of each is (1/2)(9*12) and that makes a total area of 108.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    if a triangle with square attached have areas of 6 square units for the smallest square and 10 square units for the largest square, what is the missing area?
  2. geometry

    a large square has sides of 24 units, midpoints of its sides are connected to create a smaller square. what is the area of the smaller square
  3. math

    M and N are the midpoints of the sides of a square. What is the ratio of the area of triangle AMN to the area of the complete square?
  4. Math

    5)Solve 2x2 +6x = 4 by completing the square. 6)Solve 3x2 - 6x- 24 = 0 using the quadratic formula. 7)The area of a circle is 25 in2. What is the radius, including the units?
  5. geometry

    14. Question says that there is a triangle with a base of x units and height h units and two sides of length 10 units. Answer the following questions: • Draw a representation of this situation (the triangle). • Find a formula for …
  6. Please help on geometry - analytic geometry

    What is the area, in square units, of a triangle whose vertices are at (4,-1), (10,3) and (4,5) ?
  7. Math

    ABCD is a rectangle with area equal to 36 square units. Points E, F, and G are midpoints of the sides on which they are located. How many square units are there in the area of triangle EFG?
  8. Geometry

    Diagonals of quadrilateral ABCD intersect at O.If area of triangle ACB is 5 sq.units,area of triangle BCD is 9 sq.units,area of triangle CDA is 10 sq.units and area of triangle DAB is 6 sq.units,Find area of triangle AOB. Im begging …
  9. geometry

    The area of a triangle with sides 10,10,12 is __ sq. units.
  10. geometry

    In right triangle ABC, M and N are midpoints of legs AB and BC, respectively. Leg AB is 6 units long, and leg BC is 8 units long. How many square units are in the area of triangle APC?

More Similar Questions