Question

HURRY 10 min left!!! Consider the triangle. Which statement is true about the lengths of the sides? A. Each side has a different length. B. Two sides have the same length, which is less than the length of the third side. C. The three sides have the same length. D. The sum of the lengths of two sides is equal to the length of the third side.

Answer 1

B. Two sides have the same length, which is less than the length of the third side.

Explanation:

Find the diagram attached.

From the diagram, we can see that the triangle is right angled with two of its angles equal. This can also be an isosceles triangle. An isosceles triangle is a triangle that has two of its sides and angles equal.

Since two of the angles are the same, this means that two of its sides are also the same.

Let the two sides that are equal be 1. pythagoras theorem, the third sides will be expressed as;

d² = 1²+1² (true for a right angled triangle)

d² = 2

d = √2

d = 1.414

You can see that the length of the third side is greater than the other two sides.

Hence the correct option is B. Two sides have the same length, which is less than the length of the third side