Question

Given a right triangle `triangle ABC` with `C=90^circ`, if a=6, b=8, how do you find c?

Answer 1

`c=10`

Explanation:

`"using "color(blue)"Pythagoras' theorem"`

`"here c represents the hypotenuse since it is the side"`

`"opposite "angleC=90^@`

`rArrc^2=a^2+b^2larrcolor(blue)"Pythagoras' theorem"`

`color(white)(rArrc^2)=6^2+8^2=36+64=100`

`c^2=100rArrc=sqrt100=10`