Respuesta :

fieryanswererft

Answer:

7.3 cm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert values:

x² + 8.9² = 11.5²

x² + 79.21 = 132.25

x² = 132.25 - 79.21    (subtract)

x² = 53.04

x = √53.04                (square root)

x = 7.28285 ≈ 7.3     (rounded to 1 decimal place)

LeeJungDae

given:

11.5 cm

8.9 cm

to find:

the unknown value "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

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

[tex] {x}^{2} = {11.5 }^{2} - {8.9}^{2} [/tex]

[tex] {x}^{2} = 53.04[/tex]

[tex]x = \sqrt{53.04} [/tex]

[tex]x = 7.282856582[/tex]

[tex]x = 7.3 \: cm[/tex]

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