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Black_prince [1.1K]
3 years ago
12

I need help ASAP plz

Mathematics
2 answers:
Sladkaya [172]3 years ago
4 0
This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in
Anit [1.1K]3 years ago
3 0

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

16 {}^{2}   =  {x}^{2}  + 7 {}^{2}  \\ 256 = x {}^{2}  + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x =  \sqrt{207 }  \\ x = 14.387 \\ x = 14.4

after rounding the decimal a= 14.4 in

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