# 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 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

1. 👍 2
2. 👎 3
3. 👁 1,459
1. 14 by 14 by 18.14

1. 👍 0
2. 👎 0
2. Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.

Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.
Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.

Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.

1. 👍 0
2. 👎 0

## Similar Questions

1.Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm A.8 B.21 C.15*** D.225 2.The length of a hypotenuse of a right triangle is 13cm. The length of one leg is 5cm. Find the length of the other leg.

2. ### 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.

3. ### math

5. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. 41 cm 841 cm 6 cm 29 cm 6. The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the

4. ### Math

The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg. 6 cm 12 cm 17 cm 144 cm

1. ### Maths

Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle $ABE$ from $A$

2. ### Algebra

the longer legs of a right triangle is 20 cm more than twice the length of the shorter leg. The length of the hypotenuse is 22 cm more than twice the length of the shorter leg. Find the side lengths of the triangle

3. ### 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?

4. ### Math help!

The length of the hypotenuse of a right triangle is 13 m. The length of one leg is 5 m. Find the length of the other leg. A. 14 cm B. 144 cm C. 8 cm D. 12 cm Is the answer C? Thank you

1. ### Math

Area of isosceles right angled triangle is 12.5cm .then find length of its hypotenuse .

2. ### math

An isosceles right triangle has legs of equal length. If the hypotenuse is 22 inches long, find the length of each leg. Please help me on this problem so bad!!! I NEED AN ANSWER TO THIS PROBLEM IMMEDIATELY!!!! :(

3. ### Math HELP!

The length of the hypotenuse of a right triangle is 15 ft. The length of one leg is 9 ft. Find the length of the other leg. A. 6 ft. B. 21 ft. C. 12 ft. D. 18 ft. Is the answer C? Thank you

4. ### 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