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Which triangle's unknown side length measures 7 units?

Which triangle's unknown side length measures 7 units?-example-1

2 Answers

8 votes

Answer:

Blue triangle

Explanation:

x = unknown side

Use the Pythagorean Theorem

Blue triangle:

x² + 5² = √74²

x² + 25 = 74

x² = 74 - 25

x² = 49

x = √49

x₁ = 7, yes

x₂ = - 7, no

Pink triangle:

x² + √18² = 5²

x² + 18 = 25

x² = 25 - 18

x² = 7

x₁ = √7, yes

x₂ = - √7, no

Yellow triangle:

x² + √6² = √43²

x² + 6 = 43

x² = 43 - 6

x² = 37

x₁ = √37, yes

x₂ = - √37, no

Green triangle:

x² + √2² = 4²

x² + 2 = 16

x² = 16 - 2

x² = 14

x₁ = √14, yes

x₂ = - √14, no

User Dylan Slabbinck
by
7.0k points
0 votes

Answer:

A

Explanation:

User Jozef Izso
by
7.2k points

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