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What is the length of BC in the right triangle below?

A. 14844
B. √4222
C. 142
D. 122
E. 2640
F. 98

What is the length of BC in the right triangle below A 14844 B 4222 C 142 D 122 E 2640 F 98 class=

Respuesta :

AB²+AC²=BC²
120²+22²=BC²
14884=BC²
BC=122

Answer:

Option D is correct.

[tex]\overline{BC} = 122[/tex] units

Step-by-step explanation:

Using Pythagoras theorem:

[tex]\text{Hypotenuse side}^2 = \text{Opposite side}^2+ \text{Adjacent side}^2[/tex]

As per the given right angle triangle ABC diagram:

In triangle ABC; we have

Hypotenuse side = BC

Opposite side  = AB = 22 units

Adjacent side =AC= 120 units

Apply the Pythagoras theorem on rt angle triangle ABC we have;

[tex]\text{BC}^2 = 22^2+120^2[/tex]

⇒[tex]\text{BC}^2 = 484+14400 = 14884[/tex]

⇒[tex]\tet{BC} = \sqrt{14884}=122[/tex] units

Therefore, the length of side BC is, 122 units

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