Answer:
∠AB=9
Step-by-step explanation:
the pyagrothyes therom= [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
to find ∠AB we need to find the height of the triangle.
replace the variables:
[tex]a^{2}[/tex]+[tex]6^{2}[/tex]=[tex]9^{2}[/tex]
=[tex]9^{2}[/tex]-[tex]6^{2}[/tex]=[tex]a^{2}[/tex]
simplify:
81-36=[tex]\sqrt{45}[/tex]
now we solve for ∠AB
replace the variables:
[tex]6^{2}[/tex]+[tex]\sqrt{45}[/tex]=[tex]c^{2}[/tex]
simplify:
36+45=[tex]\sqrt{81}[/tex]
[tex]\sqrt{81}[/tex]=9
I hope this helps you!!
have a nice day!!
