<u>Answers</u>
1. YES
2. NO
3. YES
4. NO
5. NO
6. YES
<u>Explanation</u>
A right triangle has a property that it side length must meet. That is the pythagorean theorem.
It states that; For a right triangle ABC, c²=a²+b². Where a, b and c are the opposite side lengths to angle A,B and C respectively.
Q1
15, 36, 39
The longer side is our c.
39² = 36² + 15²
1521 = 1296 + 225
1521 = 1521
This is true. So the side lengths are for a right triangle.
Q2
3, 7, 10
The longer side is our c.
10² = 2² + 7²
100 = 4 + 49
100 = 53
This is not true. So the side lengths are NOT for a right triangle.
Q3
The longer side is our c.
8, 15, 17
17² = 8² + 15²
289 =64 + 225
289 = 289
This is true. So the side lengths are for a right triangle.
Q4
The long side is our c.
Root3, Root4, Root5
(√5)² = (√4)² + (√3)²
5 = 4 + 3
5 = 7
This is not true. So the side lengths are NOT for a right triangle.
Q5
The longer side is our c.
6, 7, 8,
8² = 6² + 7²
64 = 36 + 49
64 = 85
This is not true. So the side lengths NOT are for a right triangle.
Q6.
The longer side is always the c
12, 16, 20
20² = 12² + 16²
400 = 144 + 256
400 = 400
This is true. So the side lengths are for a right triangle.
