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Fiesta28 [93]
2 years ago
9

What is the length of the missing leg? If necessary, round to the nearest tenth.

Mathematics
2 answers:
kap26 [50]2 years ago
5 0

Applying Pythagorean theorem

\\ \sf\longmapsto a^2=13^2-12^2

\\ \sf\longmapsto a^2=169-144

\\ \sf\longmapsto a^2=25

\\ \sf\longmapsto a=\sqrt{25}

\\ \sf\longmapsto a=5cm

zhannawk [14.2K]2 years ago
3 0

Answer:

5cm

Step-by-step explanation:

To find the missing side we use the hypotenuse theorem.

a^2 + b^2 = c^2

The longest side of the triangle would be c. So substitute the numbers into the variables.

a^2 + 12^2 = 13^2

a^2 = 13^2 - 12^2

a^2 = 169 - 144

a^2= 25

a = √25

a=5

The missing leg's length is 5cm

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