Question

On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .

Answer 1

Answer:

C BC>AB

D BC<AC

Step-by-step explanation:

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Answer 2

Answer:

C) BC < AB

D) BC < AC

Ste p-by-step explanation:

We are given the following information in the question:

$\angle A = 30^\circ\\\angle B = 60^\circ\\\angle C = 90^\circ$

This means that the side opposite to the right angle in the triangle is AB.

Since, the side opposite to the right angle is the hypotenuse and is the longest side of the triangle, thus AB cannot be shorter than any other side of the triangle.

Hence, option C is correct

BC < AB

Also, in the triangle we have,

$tan~ 60^\circ = \displaystyle\frac{\text{Perpendicular}}{\text{Base}} = \frac{AC}{BC} = \frac{\sqrt3}{1}\\\\\Rightarrow AC > BC$

Hence, option D) is correct

BC < AC