Name: _______________________
Triangles – Proving Triangles Right
3
Date: ___________
Class: Pre-Algebra
A triangle has the following
side lengths:
6
4, 5, 6
1
Sheet # 12-06
A triangle has the following
side lengths:
10, 24, 26
Determine whether the
triangle is a right triangle.
Determine whether the
triangle is a right triangle.
Show your work.
Show your work.
A triangle has the following
side lengths:
7, 24, 25
Determine whether the
triangle is a right triangle.
Show your work.
Circle One:
Circle One:
A The triangle IS a right triangle.
A The triangle IS a right triangle.
B The triangle IS NOT a right triangle.
B The triangle IS NOT a right triangle.
4
A triangle has the following
side lengths:
7
8, 9, 7
2, 6,
Determine whether the
triangle is a right triangle.
40
Determine whether the
triangle is a right triangle.
Show your work.
Circle One:
A triangle has the following
side lengths:
Show your work.
A The triangle IS a right triangle.
B The triangle IS NOT a right triangle.
2
A triangle has the following
side lengths:
6, 8, 10
Determine whether the
triangle is a right triangle.
Show your work.
Circle One:
Circle One:
A The triangle IS a right triangle.
A The triangle IS a right triangle.
B The triangle IS NOT a right triangle.
B The triangle IS NOT a right triangle.
5
A triangle has the following
side lengths:
8
3, 4, 5
Circle One:
A triangle has the following
side lengths:
2, 3, 5
Determine whether the
triangle is a right triangle.
Determine whether the
triangle is a right triangle.
Show your work.
Show your work.
A The triangle IS a right triangle.
B The triangle IS NOT a right triangle.
Circle One:
Circle One:
A The triangle IS a right triangle.
A The triangle IS a right triangle.
B The triangle IS NOT a right triangle.
B The triangle IS NOT a right triangle.
9
10
11
12
Which set of numbers could represent the lengths
of the sides of a right triangle?
A
{8, 15, 17}
B
{7, 9, 11}
C
{7, 8, 12}
D
{5, 7, 8}
Which set of numbers could not represent the
lengths of the sides of a right triangle?
A
{5, 12, 13}
B
{3, 4, 5}
C
{6, 9, 12}
D
{8, 15, 17}
Which set of numbers could represent the lengths
of the sides of a right triangle?
A
{4, 5, 6}
B
{5, 12, 13}
C
{5, 5, 10}
D
{2, 3, 6}
See the cartoon below.
Phineas has a head in the shape of a triangle.
The measures of the side lengths of his head are 5,
12 and 13 units. Is his head in the shape of a
RIGHT triangle? Justify your response using
numbers AND words.
13
A Pythagorean Triple consists of three positive
integers a, b, and c, such that a 2  b 2  c 2 .
Therefore, these three integers are the side
lengths of a right triangle.
A well known Pythagorean triple is (3, 4, 5).
If (a, b, c) is a Pythagorean triple, then so is
(ka, kb, kc) for any positive integer k.
Pick a number for k to create another
Pythagorean triple and then prove that these 3
integers create a right triangle.
k = ______
New Pythagorean Triple _________________
Proof