Answer:
1. Given: a = 6 , b = 8
c² = 6² + 8²
c² = 36 + 64
c² = 100
√c² = √100
2. Given: a = 5 , b = 12
c² = 5² + 12²
c² = 25 + 144
c² = 169
√c² = √169
3. Given: b = 15, c = 17
17² = a² + 15²
289 = a² + 225
289 - 225 = a²
a² = 289 - 225
a² = 64
√a² = √64
4. Given: a = 12 , b = 16
c² = 12² + 16²
c² = 144 + 256
c² = 400
√c² = √400
5. Given: b = 24 , c = 25
25² = a² + 24²
625 = a² + 576
625 - 576 = a²
a² = 625 - 576
a² = 49
√a² = √49
6. Given: a = 9 , c = 41
41² = 9² + b²
1681 = 81 + b²
1681 - 81 = b²
b² = 1681 - 81
b² = 1600
√b² = √1600
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Answer:
PYTHAGOREAN THEOREM FORMULA:
c² = a² + b²
1. Given: a = 6 , b = 8
c² = 6² + 8²
c² = 36 + 64
c² = 100
√c² = √100
c = 10
2. Given: a = 5 , b = 12
c² = 5² + 12²
c² = 25 + 144
c² = 169
√c² = √169
c = 13
3. Given: b = 15, c = 17
17² = a² + 15²
289 = a² + 225
289 - 225 = a²
a² = 289 - 225
a² = 64
√a² = √64
a = 8
4. Given: a = 12 , b = 16
c² = 12² + 16²
c² = 144 + 256
c² = 400
√c² = √400
c = 20
5. Given: b = 24 , c = 25
25² = a² + 24²
625 = a² + 576
625 - 576 = a²
a² = 625 - 576
a² = 49
√a² = √49
a = 7
6. Given: a = 9 , c = 41
41² = 9² + b²
1681 = 81 + b²
1681 - 81 = b²
b² = 1681 - 81
b² = 1600
√b² = √1600
b = 40