Question

1. determine how (if possible) the triangles can be proved similar? not similar sas- sss- aa- 52° 38°

Explanation:

Step1: Find the third angle of the first triangle

In a right - angled triangle, the sum of angles is \(180^{\circ}\). One angle is \(90^{\circ}\) and another is \(52^{\circ}\). Let the third angle be \(x\). Then \(x + 90^{\circ}+52^{\circ}=180^{\circ}\), so \(x = 180^{\circ}-(90^{\circ} + 52^{\circ})=38^{\circ}\).

Step2: Apply AA similarity criterion

The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
The first triangle has angles \(90^{\circ}\), \(52^{\circ}\), \(38^{\circ}\) and the second triangle has angles \(90^{\circ}\) and \(38^{\circ}\). So, two pairs of angles are equal.

Answer:

AA -