Therefore in this problem 7 is the larger length and should be the hypotenuse, and 5 and 6 should be the lengths of the other two sides. If the sum of the squares of the 2 legs of a triangle is equal to the square of the triangle’s hypotenuse, then the triangle is a right triangle.

Result: The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Example 1: Solve for x. Therefore, the length of the base x of the triangle is approximately 12.1. The Converse of the Pythagorean Theorem states that, if is true, then the given triangle is a right triangle. Hence, the set {15, 36, 39} is a Pythagorean Triple.

The Pythagorean Theorem states that for any right triangle, the sum of the squares of the legs are equal to the square of the hypotenuse. In other words, . Next, since this is a right triangle, we know that , which means the length of the line segment is 25 units.

53 is the greatest side.So, it must be a hypotenuse. adjacent and opposite are nothing but the sides other than hypotenuse(=53) i.e,28 and 45. It is obeying the pythagoras theorem then by the converse of pythagoras theorem it is a right triangle. Hence proved.

A right triangle is a triangle in which one of the angles is a 90∘ angle. The “square” at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle. Yes, 9, 40, 41 is a Pythagorean Triple and sides of a right triangle.

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.

. The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61). …

Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…

Answer: Yes, a triangle has side lengths 6, 8, 10 is it a right triangle.

Is this a right triangle? O A. Yes, because 62 +82 < 122.

They are equal, and thus, the triangle is a right triangle. Nghi N. When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Solve for the missing side. Solve for the missing side. If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Given the sides of a triangle equal to 16, 30, 34.

Isosceles triangle

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal. Because these are equal this is a right triangle.

Step 1: This is a right triangle with two equal sides so it must be a 45°-45°-90° triangle. Step 2: You are given that the both the sides are 3. If the first and second value of the ratio x:x:x√2 is 3 then the length of the third side is 3√2. Answer: The length of the hypotenuse is 3√2 inches.

Explanation: Pythagoras’s Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle.

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

the triangle is a right triangle.

Tips for Remembering the 30-60-90 Rules Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.

30-60-90 Triangle Ratio

1. Short side (opposite the 30 degree angle) = x.
2. Hypotenuse (opposite the 90 degree angle) = 2x.
3. Long side (opposite the 60 degree angle) = x√3.

This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees….45-45-90 and 30-60-90 Triangles.