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3 years ago

1. Find the missing side length.

Mathematics

1 answer:

wel3 years ago

4 0

Answer:

Therefore the missing length is AC = 24.46 units

Step-by-step explanation:

Consider a Δ ABC with

∠ B = 43°

AB = c = 18

BC = a = 8

To Find:

AC = c = ?

Solution:

We know in a Triangle Cosine Rule Says that,

$b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B$

Substituting the given values in above formula we get

$b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units$

Therefore the missing length is AC = 24.46 units

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