In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A B C is congruent to triangle G H F, which statement is true?

AB = 10.6 cm

Step-by-step explanation:

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

If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.

Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.

Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.

AB = GH

AB = 10.6 cm

m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)

m∠F + 80 + 55 = 180

m∠F + 135 = 180

m∠F = 180 - 135 = 45

m∠F = 45°

m∠F = m∠C

m∠C = 45°

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm