TychoB629583 TychoB629583

28-10-2022
Mathematics

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The perimeter of a triangle ABC is 100 cm. The length of AB is 45 cm. and the length of BC is 32 cm. What is the length of CA? A) 23 B 33 cm. C) 25 cm. 45 cm.

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AverettZ82608 AverettZ82608

28-10-2022

ANSWER

A) 23

EXPLANATION

The perimeter of a triangle is the sum of the lengths of its sides. The perimeter of triangle ABC is then:

[tex]P=AB+BC+CA[/tex]

We know that P = 100 cm, AB = 45cm and BC = 32cm:

[tex]100=45+32+CA[/tex]

Add 45 and 32:

[tex]100=77+CA[/tex]

Subtract 77 from both sides of the equation:

[tex]\begin{gathered} 100-77=77-77+CA \\ 23=CA \end{gathered}[/tex]

The length of side CA is 23 cm

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