Answer:
The triangle's altitude is 15
Step-by-step explanation:
Notice that triangle ABD is a right angle triangle, and therefore its sides should verify the Pythagorean theorem:
[tex]hyp^2=side_1^2+side_2^2[/tex]
for this triangle the hypotenuse (b) is 47.43; side (a) is 45, and the last side (the segment BD) is our unknown (the triangle's ABC altitude). Then the Pythagorean theorem becomes:
[tex]hyp^2=side_1^2+side_2^2\\47.43^2=45^2+BD^2\\BD^2=47.43^2-45^2\\BD^2=224.6049\\BD=\sqrt{224.6049} \\\\BD=14.9868[/tex]
which rounded will give 15
