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How can I prove a hypotenuse angle theorem?

Sagot :

Dominiidn
Hypotenuse Angle Theorem or Hypotenuse Acute Angle Theorem state that...
           
              If the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent to each other...

For example:
Refer to the picture below... (Please click the image for the better view).

ΔPQR ≅ ΔSTU

Corresponding;
Acute Angle;                 ∠R ⇔ ∠U
Hypotenuse;                  PR ⇔ SU 

Congruent;
Acute Angle;                  ∠R ≅ ∠U
Hypotenuse;                   PR ≅ SU

Therefore;
ΔPQR ≅ ΔSTU through Hypotenuse Acute Angle Theorem.

Always remember, corresponding sides and angles are always congruent together.

Hope it Helps =)
-------Domini-------

~Happy Summer Vacation~

View image Domini