Geometry

posted by .

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 equal sides are the base and height. This means that both the base height with have the same value.

After you get the answer of the two isoceles legs, you need to figure out the other leg. To solve this by using the formula:

a^2+b^2=c^2

a would be on leg length
b would be the other leg length

You just fill in the values and you get your answer. =)


this did not help

If the area is 98 then the sides would be equal to b x h / 2. So they would be

98=b x h /2
98 x 2= b x h
196= b x h (we know that the base and the height are the same so you can just find the square root of 196)

square root of 196= 14x14

So the two sides are 14 and 14

Now we need to find the third side.

We will use the formula:

a^2+b^2=c^2

14^2+14^2=c^2
196+196=c^2
329=c^2

So the side lengths of the triangle are

(14,14, square root of 329)



f

  • Geometry -

    14 by 14 by 18.14

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    i have trouble finding the answer to this and how to srt. there is a square and i havbe to find the area. HOweever inside the square is a triangle. the base of the triangle is 3 and the leg is 7. no height is given. plz help. Is this …
  2. Math...Geometry

    Hello, Can someone please tell me if I worked this out correct and ended with the right answer?
  3. geometry

    The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest …
  4. geometry

    leg xy of the right triangle is twice as long as leg yz. if the area of the triangle is 36cm to the second power what is the length icm of xy?
  5. Math (Geometry)

    The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest …
  6. 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?
  7. Math

    "One leg of a right triangle is 50.A line parallel to the other leg and at a distance of 20 from that leg cuts off a right trapezoid of area 320. What is the area of the original right triangle?
  8. MATH MS.SUE HELP PLEASE!

    Could somebody help me I don't understand any of this. Could someone show me or tell me how to work the problems?
  9. Math

    1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. …
  10. Geometry

    Right triangle ABC has one leg of length 12 in and a hypotenuse of length 13 inch. A) Determine the length of the other leg B) Determine the perimeter of the triangle. C)Determine the area of the triangle. Must show work as well as …

More Similar Questions