Answer:
Step-by-step explanation:
a). Let the unknown side of triangle A = x cm
And unknown side of triangle B = y cm
By applying Pythagoras theorem in triangle A,
13² = 12² + x²
x² = 169 - 144
x² = 25 ⇒ x = 5 cm
By applying Pythagoras theorem in triangle B,
y² = 5² + 12²
y² = 25 + 144
y = √169
y = 13 cm
Therefore, smaller sides of these triangles measure 5 cm and 12 cm and they are same in measure.
b). Since, corresponding sides of both the triangles are congruent,
By SSS property of congruence, both the triangles will be congruent.
