Question

alguem pode me ajudar por favor na 9

Answer 1

a)
$x^{2} = 9^{2} + 12^{2}$

$x^{2} =81+144$

$x^{2} =225$

$x= \sqrt{225}$

$x=15$

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
$y^{2} =(5 \sqrt{7} ) ^{2} + x^{2}$

$y^{2}=25.7+225$

$y^{2} =175+225$

$y^{2} =400$

$y= \sqrt{400}$

y=20

b)
(x+4)²=x²+(x+2)²
x²+8x+16=x²+x²+4x+4

x²-4x-12=0
Δ=16+48
Δ=64
√Δ=√64=8

$x= \frac{4+8}{2} = \frac{12}{2} =6$

hipotenusa=x+4=6+4=10
cateto=x+2=6+2=8
cateto=x=6

c)

6²=3²+x²
x²=36-9
x²=27
x=√27
x=3√3

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