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If AB = 28 cm and BC = 45 cm. What is the length of AC in centimeters?

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30 cm

53 cm

56 cm

65 cm

answer is B.

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Detailed Solution

Given, In triangle ABC,
AB = 28cm
BC = 45cm
∠A = 51.5

°

∠C = 38.5

°

AC =?
By angle sum property,
∠A + ∠B + ∠C = 180

°

51.5

°

+ ∠B + 38.5

°

= 180

°

∠B + 90

°

= 180

°

∠B = 180

°

− 90

°

∠B = 90

°

As it is depicted that the given triangle ABC is a right triangle.
So we can use Pythagoras theorem to get one of the sides of a triangle.
Since angle B is 90

°

so, the side opposite to it that is AC is hypotenuse.
So, in triangle ABC
AC2 = AB2 + BC2
AC2 + 282 + 452
AC2 = 784 + 2025
AC =

\sqrt 2809

AC = 53 cm
Hence, Option (2) is the correct option.

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