If c is the measure of the hypotenuse, find the missing measure,round to the nearest tenth if necessary a=? b=6 c=43

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have the right angle triangle with sides a, b, and c.

c is the hypotenuse, then:

c^2 = a^2 + b^2

43^2 = a^2 + 6^2

1849 = a^2 + 36

==> a^2 = 1849 -36

==> a^2 = 1813

==> a = sqrt1813 = 42.6 (approx.)

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles
To do this, you need to use the Pythagorean theorem.  If you remember, this theorem can be stated as A squared + B squared = C squared where C is the hypotenuse and A and B are the legs of the right triangle.  So what we need to do is this:

A^2 + 6^2 = 43^2.  Now we just do the math.

A^2 + 36 = 43^2

A^2 + 36 = 1849

A^2 = 1813

A = square root of 1813

The square root of 1813 is (rounded to the nearest 10th) 42.6.

So the two legs of the triangle are 42.6 and 6 and the hypotenuse is 43.

 

Approved by eNotes Editorial Team