Question

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?
A. AB = 12.3 cm
B. AB = 10.6 cm
C. M angle C=55 degrees
D. M angle C=80 degrees

Answer 1

Statement A and C are correct

Answer 2

Answer:

In the given option the only option matches is B that is AB=10.6cm

Step-by-step explanation:

Given the triangle FGH where FG = 12.3 cm, GH = 10.6 cm, ∠G=80° , and ∠H=55°. Also, given ΔABC≅ΔGHF

we have to choose the correct statement

if  ΔABC≅ΔGHF then by CPCT i.e corresponding parts of congruent triangles  GH=AB=10.6cm

               ∠C=∠F=180°-80°-55°   (by angle sum property)

                   ∠C  = 45°

In the given option the only option matches is B that is AB=10.6cm