Answer:
see explanation
Step-by-step explanation:
(a)
Calculate the missing leg (x) in triangle A using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
Thus the 2 shorter sides in A are the same length as the 2 shorter sides in B.
(b)
The 3 sides of triangle A are congruent to the 3 sides of triangle B
Hence the triangles are congruent by the SSS postulate.
