Let’s solve each right triangle problem one by one. We’ll use the Pythagorean Theorem:
a² + b² = c², where
c is the hypotenuse (the side opposite the right angle, and always the longest side).
We’ll round all answers to the nearest tenth as instructed.
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Problem 1:
Legs: 3 and 8 → Find hypotenuse x
x² = 3² + 8² = 9 + 64 = 73
x = √73 ≈ 8.5
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Problem 2:
Legs: 2.5 and 3 → Find hypotenuse x
x² = 2.5² + 3² = 6.25 + 9 = 15.25
x = √15.25 ≈ 3.9
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Problem 3:
Legs: 3 and 5 → Find hypotenuse x
x² = 3² + 5² = 9 + 25 = 34
x = √34 ≈ 5.8
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Problem 4:
Legs: 6 and 10.5 → Find hypotenuse x
x² = 6² + 10.5² = 36 + 110.25 = 146.25
x = √146.25 ≈ 12.1
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Problem 5:
Legs: 7 and 9 → Find hypotenuse x
x² = 7² + 9² = 49 + 81 = 130
x = √130 ≈ 11.4
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Problem 6:
Legs: 5 and 12 → Find hypotenuse x
x² = 5² + 12² = 25 + 144 = 169
x = √169 = 13.0
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Problem 7:
Legs: 6 and 8 → Find hypotenuse x
x² = 6² + 8² = 36 + 64 = 100
x = √100 = 10.0
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Problem 8:
Legs: 3.6 and 4.8 → Find hypotenuse x
x² = 3.6² + 4.8² = 12.96 + 23.04 = 36
x = √36 = 6.0
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Problem 9:
This is an isosceles right triangle with legs both 6 → Find hypotenuse x
x² = 6² + 6² = 36 + 36 = 72
x = √72 ≈ 8.5
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Problem 10:
Legs: 7 and 24 → Find hypotenuse x
x² = 7² + 24² = 49 + 576 = 625
x = √625 = 25.0
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Final Answer:
1) 8.5
2) 3.9
3) 5.8
4) 12.1
5) 11.4
6) 13.0
7) 10.0
8) 6.0
9) 8.5
10) 25.0
Parent Tip: Review the logic above to help your child master the concept of solving triangles worksheet.
