Mathematics
Grade9
Easy

Question

∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.

  1. 5 cm
  2. 6 cm
  3. 7 cm
  4. Cannot be determined 

hintHint:

This question is in the reference from the chapter Triangles.

The correct answer is: 6 cm


    G i v e n comma
triangle P Q R space approximately equal to space triangle S T U
P Q space equals space 5 space c m
Q R space equals space 6 space c m
R P space equals space space c m

T o space f i n d comma
t h e space l e n g t h space o f space T U

H e r e comma
triangle P Q R space approximately equal to space triangle S T U space space space space space space space space space space space space space space open parentheses G i v e n close parentheses
P Q space equals space S T space equals space 5 space c m
Q R space equals space T U space equals space 6 space c m
R P space equals space U S space equals space 7 space c m

therefore space t h e space l e n g t h space o f space T U space equals space 6 space c m

    Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
    When two triangles are congruent, all of their corresponding sides and angles are equal.

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