Question

ABC is a triangle such that angle c =90 .suppose AC = 180 AB = 181 and the perpendicular distance from c to AB is x .find the value of the x

Answer 1

Answer:

19 units

Step-by-step explanation:

We can use Pythagorean theorem: AB is hypothese and formula

a^2 - b^2 = (a - b)(a + b)

c^2 = a^2 + b^2 ---> a^2 = c^2 - b^2

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x^2 = 181^2 - 180^2 = (181 - 180)(181 + 180) = 361

x = sqr361 = 19