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Triangles A and B are right angled.

a) show that the two shorter sides in triangle A have the same length as the two shorter sides in triangle B.

b) explain why the two triangles are congruent.

Triangles A and B are right angled a show that the two shorter sides in triangle A have the same length as the two shorter sides in triangle B b explain why the class=

Respuesta :

Answer:

13²-12²

169-144

=25

√25

=5

The 2 shortest sides are 5cm and 12cm

abidemiokin
  • The two shorter sides have the same length which is 5cm
  • Since all the sides of the triangle are the same, hence the two triangles are congruent.

Let the sides of the triangles be a, b and c. According to Pythagoras theorem;

[tex]c^2=a^2+b^2[/tex] where:

a is the hypotenuse (longest side)

For triangle A:

c = 13

b = 12

Get "a"

[tex]13^2=12^2+b^2\\169=144+b^2\\b^2=169-144\\b^2=25\\b=5cm[/tex]

Similarly for triangle B:

[tex]c^2=5^2+12^2\\c^2=25+144\\c^2=169\\c^2=\sqrt{169} \\b=13cm[/tex]

We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

Learn more here: https://brainly.com/question/20545047

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