4, 4, 5, 7, 10, what's the next number in the pattern
2 answers:
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Answer: 12.5
Step-by-step explanation: The triangle ABC and its altitude is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of , now we have two similar triangles, which means that ratios of corresponding sides are equal:
(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
(2)
Substituting (2) into (1):
We want to find f, so:
f = 7.5
The length of is
The length of the hypotenuse of triangle ABC is 12.5 units.
