So like tangent Theorem to solve this ? ?????
2 answers:
1st Method- Pythagoras:
16² = x² + 8² → 256 = x² + 64 → x² 256 - 64 →x² = 192 and x =√192 = 13.85
2nd Method- Trigo
sin Ф = 8/16 = 1/2 and sin⁻¹ (1/2) = 30°
now tan 30° = 8/x
0.57735 = 8/x and x = 8/(0.57735) = 13.85
You can use the Pythagorean Theorem since it's indicated in the problem that the triangle is right (has a 90 degree angle in it).
So what you can do is use: a^2 + b^2 = c^2
8^2 + x^2 = 16^2
64 + x^2 = 256
x^2 = 192
x = 8√3
I don't think you can use tangent in this problem since no other interior angles are given.
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