Respuesta :

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

[tex]c^{2} =a^{2} +b^{2}[/tex]

c = [tex]\sqrt{a^{2} +b^{2} }[/tex]

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = [tex]\sqrt{40^{2} + 9^{2} }[/tex]

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = [tex]\sqrt{12^{2} + 13^{2} }[/tex]

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]35^{2} = 20^{2} + b^{2}[/tex]

1225 = 400 + [tex]b^{2}[/tex]

[tex]b^{2}[/tex] = 1225 - 400

[tex]b^{2}[/tex] = 825

[tex]\sqrt{b^{2} } = \sqrt{825}[/tex]

b = 5 [tex]\sqrt{33}[/tex]

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]37^{2} = 20^{2} + b^{2}[/tex]

1369 = 400 + [tex]b^{2}[/tex]

[tex]b^{2}[/tex] = 1369 - 400

[tex]b^{2}[/tex] = 969

Taking square root on both sides

b = 31.12

Hope it helps.

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