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ankoles [38]
3 years ago
13

Can someone walk me through this? (Geometry - Triangle Congruence Proof using SAS Theorem)

Mathematics
1 answer:
ANEK [815]3 years ago
6 0
Angle A and Angle D are congruent because angles of an equilateral triangle are congruent.

Side AD is equal to side AD because of the reflexive property

Side AC is congruent to side DB because components of sides are congruent




Therefore, Triangle ACD is congruent to Triangle DBA
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Help 15 points!!!!!!!!!!!!!!!!!!!!!
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

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