Respuesta :

ujalakhan18

Answer:

[tex]\boxed{c = 5.7 units}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem:

=> [tex]c^2 = a^2+b^2[/tex]

Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)

=> [tex]c^2 = 4^2+4^2[/tex]

=> [tex]c^2 = 16+16[/tex]

=> [tex]c^2 = 32[/tex]

Taking sqrt on both sides

=> c = 5.7 units

Answer:

5.65 units

Step-by-step explanation:

Given,

Base ( b ) = 4 units

Perpendicular ( p ) = 4 units

Hypotenuse ( h ) = ?

Now,

Using Pythagoras theorem to find length of hypotenuse:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values

[tex] {h}^{2} = {4}^{2} + {4}^{2} [/tex]

Evaluate the power

[tex] {h}^{2} = 16 + 16[/tex]

Calculate the sum

[tex] {h}^{2} = 32[/tex]

[tex]h = \sqrt{32} [/tex]

[tex]h = 5.65 \: units[/tex]

Hope this helps..

Best regards !!

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