Find the missing length to the nearest tenth. Right

Ответ:

laleona01

30.01.2022

17.1 meters

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

6 and 16 are the legs, because they form the right angle. c is the hypotenuse because it is opposite the right angle.

6^2+16^2=c^2

Evaluate the exponents.

6^2= 6*6= 36

16^2= 16*16= 256

36+256=c^2

Add 36 and 256.

292=c^2

Since c is being squared, take the square root of both sides of the equation. The exponent and square root will cancel and leave c by itself

$\sqrt{292} =\sqrt{c^2}$

$\sqrt{292}=c$

17.0880075=c

Round to the nearest tenth. The 8 in the hundredeth place tells us to roung the 0 in the tenth place up to a 1.

17.1=c

c= 17.1 m

The missing length, or the hyptenuse is 17.1 meters.

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