Question

Calcule o valor de X nos triangulos

Answer 1

Olá, boa noite.

Iremos usar as seguintes propriedades:

${a}^{2} = {b}^{2} + {c}^{2} \\ \\ a \times h = b \times c \\ \\ {b}^{2} = a \times m \\ \\ {c}^{2} = a \times n \\ \\ {h}^{2} = m \times n$

a)

${h}^{2} = m \times n \\ {h}^{2} = 9 \times 16 \\ {h}^{2} = 144 \\ h = \sqrt{144} \\ h = 12$

&

${a}^{2} = {b}^{2} + {c}^{2} \\ {x}^{2} = {12}^{2} + {9}^{2} \\ {x}^{2} = 144 + 81 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15$

b)

${b}^{2} = a \times m \\ {b}^{2} = 9 \times 4 \\ {b}^{2} = 36 \\ b = \sqrt{36} \\ b = 6$

c)

$a \times h = b \times c \\ 5 \times h = 3 \times 4 \\ 5h = 12 \\ h = 12 \div 5 \\ h = \frac{12}{5}$

d)

${h}^{2} = m \times n \\ {h}^{2} = 16 \times 4 \\ {h}^{2} = 64 \\ h = \sqrt{64 } \\ h = 8$

Espero ter ajudado :-)

Caso tenha, por gentileza me siga.