Question

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Answer 1

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 = $\sqrt{25}$ = 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.