If the hypotenuse of a right triangle is 13 and one of its legs is 5, find the area fo the triangle.
Answer Choices
20
40
45
30
25
I know a hypotenuse the side of a right triangle opposite the right angle. You can't multiply the hypotenuse with one of the legs.
Use Pythagorean Theorem to find the other side. a^2 + b^2 = c^2
You have a = 5, and c (the hypotenuse) = 13, so
5^2 + b^2 = 13^2
b = ? (it's a whole number)
The area of a triangle is (1/2) * base * height
After you have found b, you have the two sides a and b - find the area.
Use the Pythagorean Theorem to find the length of the other leg. Then use that to find the area.
http://en.wikipedia.org/wiki/Pythagorean_theorem
I hope this helps. Thanks for asking.
The equation would be ? + 5^2 = 13^2 So it would turn into ? + 25 = 169 Then you rearrange the equation so that you can find the length of the other leg and solve it. 169 - 25 = 144 Then find the square root of 144 which would be 12. So the answer is 12
To find the area of a triangle, we can use the formula A = 1/2 * base * height.
In this case, one of the legs of the right triangle is given as 5. To find the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Let's call the other leg of the triangle "x".
Using the Pythagorean theorem, we can set up the equation:
5^2 + x^2 = 13^2
25 + x^2 = 169
Rearranging the equation, we have:
x^2 = 169 - 25
x^2 = 144
x = √144
x = 12
Now we have the lengths of both legs of the right triangle: one is 5, and the other is 12.
To find the area, we can use the formula A = 1/2 * base * height.
In this case, the base is 5 and the height is 12.
Plugging these values into the formula, we get:
A = 1/2 * 5 * 12
A = 30
Therefore, the area of the right triangle is 30.