Respuesta :

MisterZeng
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
nancygoyal

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

[tex]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[/tex]

after rounding the decimal a= 14.4 in

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