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Sagot :
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
a^2 + 12^2 = 19^2
Simplify the exponents:
a^2 + 144 = 361
Subtract 144 to both sides:
a^2 = 217
Find the square root of both sides:
a = 14.73
a^2 + b^2 = c^2
a^2 + 12^2 = 19^2
Simplify the exponents:
a^2 + 144 = 361
Subtract 144 to both sides:
a^2 = 217
Find the square root of both sides:
a = 14.73
Answer:
(C)14.73
Step-by-step explanation:
It is given that c is the hypotenuse, thus using the Pythagoras theorem, we have
[tex]c^{2}=a^{2}+b^{2}[/tex]
Substituting the given values, we have
[tex](19)^2=a^2+(12)^2[/tex]
[tex]361=a^2+144[/tex]
[tex]217=a^2[/tex]
[tex]a=\sqrt{217}[/tex]
[tex]a=14.73[/tex]
Thus, the value of a will be 14.73.
Hence, option (C) is correct.
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