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4 years ago

What theorem or postulate can be used to justify that HIG=FIE

Mathematics

2 answers:

Doss [256]4 years ago

7 0

Answer: A. SAS

Step-by-step explanation:

In the given picture , we have two triangles ΔHIG and Δ FIE , in which

$\overline{HI}\cong\overlien{FI}$ [given]

$\angle{HGI}\cong\angle{FEI}$ [given]

Also, $\angle{HIG}\cong\angle{FIE}$ [Vertically opposite angles]

Therefore by SAS congruence postulate we have

$\triangle{HIG}\cong\triangle{FIE}$

SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then we say that the two triangles are congruent.

oksano4ka [1.4K]4 years ago

3 0

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We are given that,

The surveyor is located 54 meters from one entrance at an angle of 56°.

The surveyor is located 31 meters from one entrance at an angle of 13°.

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So, using the law of cosines, we get,

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