Question

solve this pythagoras theorem. ​

Answer 1

Answer:

12²=3²+x²

144=9+x²

135=x²

√135=x²

3√15=x

Step-by-step explanation:

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Answer 2

Answer:

$x=3\sqrt{15}$

And the base of the triangle is $4+3\sqrt{15}$

Step-by-step explanation:

By pythagoras' theorem:

$12^2 = x^2 - 3^2$

$x^2 = 144 - 9 = 135 = 9*15$

∴ $x=\sqrt{9*15}=3\sqrt{15}$

Assuming, that the remaining part of the base is y,

$5^2 = 3^2 + y^2$

$=>y^2 = 25 - 9 = 16 = 4^2$

∴ $y = 4$

Therefore, the base of the triangle is $x+y=4+3\sqrt{15}$