Using the Pythagorean Theorem, Find the length of the third side. If necessary, write in simplest radical form.
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Answer:
/13=3.60
(a)^2+(b)^2=(c)^2
(6)^2+(3.60)^2=(c)^2
36+13=(c)^2
49=(c)^2
c= /49
c=7
Step-by-step explanation:
pythagorean theorem is (a)^2+(b)^2=(c)^2
then replace it with the given values
inverse of square is squareroot
Answer:
third side is 7 units
Step-by-step explanation:
Hi there!
the Pythagorean theorem is given as a²+b²=c², where a and b are legs (the sides that make up the right angle) and c is the hypotenuse (side that is opposite to the right angle, or in this case, the third side)
we are given the lengths of the 2 legs, and we need to find the hypotenuse
a=6
b=√13
c=unknown value
square the values of a and b, add them together, and set that to equal c squared
or in other words:
6²+(√13)²=c²
36+13=c²
(because 6*6=36; √13*√13=13)
49=c²
√49=√c²
7=c
therefore the hypotenuse is 7 units
Hope this helps!