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What could not be the lengths of the sides of a right triangle 9ft 12ft 15ft or 4cm 7.5cm 8.5cm or 5in 10in 15in or 1.5m 2m 2.5m?
5" by 10" by 15" cannot be a right angled triangle because the square of the hypotenuse (longest side) must be equal to the sum of the squares of the other two sides.
Proof:
152 = 225
52 + 102 = 25 + 100 = 125
225 is not equal to 125 so the triangle is not a right angled triangle.
All the others are right-angled triangles:
92 + 122 = 152 [81 + 144 = 225]
42 + 7.52 = 8.52 [16 + 56.25 = 72.25]
1.52 + 22 = 2.52 [2.25 + 4 = 6.25]
Answer
9ft, 12ft, 15ft
9² + 12² = 81 + 144
= 225
= 15²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
4cm, 7.5cm, 8.5cm
4² + 7.5² = 16 + 56.25
= 72.25
= 8.5²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
5in, 10in, 15in
This one doesn't obey the triangle inequality, so it isn't a triangle at all. Anything that isn't a triangle isn't a right-angled triangle, and therefore we don't need to check it against Pythagoras' Theorem. But just to be thorough:
5² + 10² = 25 + 100
= 125
15² = 225
≠ 125
Which disagrees with Pythagoras' Theorem, so this is not a right-angled triangle.
1.5m, 2m, 2.5m
1.5² + 2² = 2.25 + 4
= 6.25
= 2.5²
Which agrees with Pythagoras' Theorem, so this is a right-angled triangle.
What else can I help you with?
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A triangle with a right angle and different lengths for sides is a right, scalene triangle.
A triangle with sides of lengths 24 70 and 74 is a right triangle?
Yes, it is.
What are the lengths to make a right triangle?
Hypotenuse,Adjacent and opposite in a triangle and these sides can be worked out
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
True are false A triangle with sides lengths 40 75 and 84 are a right triangle?
False.
What triangle has one right angle and all three sides are different lengths?
A triangle with a right angle and different lengths for sides is a right, scalene triangle.
What is a triangle where the sides are different lengths?
A right triangle * * * * * No, it is a scalene triangle.
What is the name of A triangle with sides of no equal length?
A triangle with no right angle and sides of different lengths is a scalene triangle.
Is a triangle with sides of lengths 16 63 65 a right triangle?
162+632=652 It is, in fact, a right triangle. I see no other question that you could be posing.
To what do the internal angles of a triangle add?
In Euclidean geometry, 180. Other answers are possible, depending on the surface on which the triangle is drawn.
A triangle has sides of lengths 4 3 and 5 is it a right triangle?
Yes, it is.
A triangle with sides of lengths 33 56 and 65 is a right triangle?
true
A triangle with sides of lengths 20 21 and 29 is a right triangle?
True
A triangle with sides of lengths 24 70 and 74 is a right triangle?
Yes, it is.
How can you determine whether or not the sides of a triangle form a right triangle using Pythagorean triples?
If the lengths of the sides of the triangle can be substituted for 'a', 'b', and 'c'in the equationa2 + b2 = c2and maintain the equality, then the lengths of the sides are a Pythagorean triple, and the triangle is a right one.
What set of lengths could not be the lengths of the sides of a triangle?
If any of its 2 sides is not greater than its third in length then a triangle can't be formed.
What are the lengths to make a right triangle?
Hypotenuse,Adjacent and opposite in a triangle and these sides can be worked out
