Question

question 11 of 50
a 45°–45°–90° triangle is a right isosceles triangle.
○ true
○ false

Explanation:

Step1: Recall triangle properties

A right triangle has one \(90^\circ\) angle. An isosceles triangle has two equal angles (and thus two equal sides). In a \(45^\circ - 45^\circ - 90^\circ\) triangle, two angles are \(45^\circ\) (equal), so the sides opposite them are equal. Also, one angle is \(90^\circ\) (right angle).

Step2: Determine triangle type

Since it has a right angle (\(90^\circ\)) and two equal angles (\(45^\circ\) each, making it isosceles), a \(45^\circ - 45^\circ - 90^\circ\) triangle is a right isosceles triangle.

Answer:

True (the option "True")