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Pythagorean Theorem Right Triangles Worksheet
Use a² + b² = c² to find the missing leg or hypotenuse in right triangles. 10 geometry problems with integer Pythagorean triplets.
Geometry & Shapes
Medium / Intermediate
Middle School (Grades 6–8)
10 Problems
Name:
Date:
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______ / 10
1)
Right triangle with legs a = 3, b = 4. Find hypotenuse c:
2)
Right triangle with legs a = 6, b = 8. Find hypotenuse c:
3)
Right triangle with legs a = 5, b = 12. Find hypotenuse c:
4)
Right triangle with legs a = 8, b = 15. Find hypotenuse c:
5)
Hypotenuse c = 10, leg a = 6. Find leg b:
6)
Hypotenuse c = 25, leg a = 7. Find leg b:
7)
Right triangle with legs a = 9, b = 12. Find hypotenuse c:
8)
Hypotenuse c = 13, leg a = 5. Find leg b:
9)
Right triangle with legs a = 12, b = 16. Find hypotenuse c:
10)
Hypotenuse c = 17, leg a = 8. Find leg b:
Answer Key & Solutions
Pythagorean Theorem Right Triangles Worksheet
#1:
5
c² = 3² + 4² = 9 + 16 = 25 → c = √25 = 5.
#2:
10
c² = 6² + 8² = 36 + 64 = 100 → c = 10.
#3:
13
c² = 5² + 12² = 25 + 144 = 169 → c = 13.
#4:
17
c² = 8² + 15² = 64 + 225 = 289 → c = 17.
#5:
8
b² = 10² - 6² = 100 - 36 = 64 → b = 8.
#6:
24
b² = 25² - 7² = 625 - 49 = 576 → b = 24.
#7:
15
c² = 9² + 12² = 81 + 144 = 225. √225 = 15.
#8:
12
b² = c² - a² = 13² - 5² = 169 - 25 = 144. √144 = 12.
#9:
20
c² = 12² + 16² = 144 + 256 = 400. √400 = 20.
#10:
15
b² = c² - a² = 17² - 8² = 289 - 64 = 225. √225 = 15.
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