The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
Any right triangle resting on a leg.
It's acute. Sum the squares of the shorter two sides and compare to the square of the longest side. If the sum is less, the triangle is obtuse. If they are equal, the triangle is right angle. If the sum is more, the triangle is acute. 132 + 152 = 169 + 225 = 394 172 = 289 Sum is more so triangle is acute.
A right triangle with a hypotenuse of 40 inches and a side of 8 inches has a leg length of 39.19 inches so the shorter leg IS 8 inches.
They are just "sides." They usually do not have given names, unless you have a right triangle, in which the two shorter sides are called legs and the longest side (side opposite the right angle) is called the hypotenuse.
Certainly. In fact, if the legs of the right triangle are not equal, then that descriptionmust be true for one of its acute angles.
13 cm
all the angles add up to 180 degreespythagorean theorem. if it works, you have a right angle triangle. a^2 + b^2 = c^2. the sum of the squares of the two shorter sides is equal to the square of the longest side, also known as the hypotenuse.
Adjacent means next to. So you're asking what sides of a triangle are next to the right angle of a triangle. That would be the 2 shorter sides of the triangle or 'legs' of the triangle. The hypotenuse (which is the longest side of the triangle) is directly across from the right angle.
If the length of only one side is known, it is not possible to determine whether or not the triangle is right angled.
If the length of only one side is known, it is not possible to determine whether or not the triangle is right angled.
5 cm
No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
This side is called the hypotenuse.