How to find the pythagorean theorem?

x = 3*sqrt(15) = 11.61895

Step-by-step explanation:

Properties of the Triangle.

The triangle is isosceles                       It has 2 equal sides (24)

x meets the base at a right angle        Given

An altitude also is a median                 Property of Isosceles triangle

A median divides a base into 2 equal segments     Isoceles triangle

42 /2 = 21                                               Above Property

Find x

Formula

a^2 + b^2 = c^2

Givens

a = x

b = 21

c = 24

Solution

a^2 + b^2 = c^2          Substitute for a,b and c

x^2 + 21^2 = 24^2      

x^2 + 441 = 576          Subtract 441 from both sides.

x^2 = 576 - 441

x^2 = 135

135: 3*3*3*5

Take the square root of both sides

x = sqrt(135)

sqrt(135) = sqrt(3 * 3 * 3 * 5). For every pair of primes, you can take out 1 prime and throw the other one away. You are left with something under the root sign.

x = 3 * sqrt(15)    Answer

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