Question

A right triangle has side lengths of 0.6 meter and 0.8 meters. What is the length of the hypotenuse? Rounded to the nearest tenth

Answer 1

Answer:

$c=1, -1$

Step-by-step explanation:

Use the Pythagorean theorem since you are working with a right triangle:

$a^2+b^2=c^2$

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

$0.8^2+0.6^2=c^2$

Solve for c. Simplify the exponents ($x^2=x*x$):

$0.64+0.36=c^2$

Add:

$1=c^2$

Isolate c. Find the square root of both sides:

$\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c$

Simplify $\sqrt{1}$. Any root of 1 is 1:

$c=$ ±$1$ *

$c=1,-1$

Finito :D

*It can be either positive of negative 1 because 1×1=1 and (-1)×(-1)=1

Answer 2

Answer:

0.894

Step-by-step explanation: