To find the missing sides of the right triangles, we’ll use the Pythagorean Theorem:
a² + b² = c², where
c is the hypotenuse (the longest side, opposite the right angle), and
a and
b are the other two sides.
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Triangle 1:
Given: a = 9 m, b = 12 m → Find c
→ c² = 9² + 12² = 81 + 144 = 225
→ c = √225 = 15 m
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Triangle 2:
Given: a = 15 mm, c = 25 mm → Find b
→ b² = c² - a² = 25² - 15² = 625 - 225 = 400
→ b = √400 = 20 mm
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Triangle 3:
Given: a = 1.6 km, b = 2 km → Find c
→ c² = 1.6² + 2² = 2.56 + 4 = 6.56
→ c = √6.56 ≈ 2.56 km (rounded to two decimal places)
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Triangle 4:
Given: a = 2.7 cm, c = 3.6 cm → Find b
→ b² = c² - a² = 3.6² - 2.7² = 12.96 - 7.29 = 5.67
→ b = √5.67 ≈ 2.38 cm (rounded to two decimal places)
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Final Answer:
15 m, 20 mm, 2.56 km, 2.38 cm
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem printable worksheet for 8th grade math.
