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Use the Pythagorean Theorem to find the whole number estimate of the unknown side of the right triangle shown below.

A:3
B 10
C 9
D 4

Use the Pythagorean Theorem to find the whole number estimate of the unknown side of the right triangle shown below A3 B 10 C 9 D 4 class=

Respuesta :

Answer:

  • Option C.

Step-by-step explanation:

  • This is Right Angled Triangle.

So,

We'll solve this using the Pythagorean Theorem.

Let

  • 6cm be BC, where BC is the perpendicular.

  • 7cm be AB, where AB is the Base.

  • AC be the Hypotenuse.

We know that,

[tex]{ \longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = (7) {}^{2} +( 6) {}^{2} }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 49 +36 }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 85 }[/tex]

[tex]{ \longrightarrow \sf \qquad AC = \sqrt{85} }[/tex]

[tex]{ \longrightarrow \sf \qquad AC \approx 9.21 }[/tex]

⠀

Therefore,

  • The length of the unknown side is 9 cm. (Estimated)
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