Question

please help and explain, will give BRAINLIEST! (also, use things like sin, cos, tan, pythagorean theorem, etc to solve please)

Answer 1

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:

$hyp^2=side_1^2+side_2^2$

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:

$hyp^2=side_1^2+side_2^2\\47.43^2=45^2+BD^2\\BD^2=47.43^2-45^2\\BD^2=224.6049\\BD=\sqrt{224.6049} \\\\BD=14.9868$

which rounded will give 15