2. If George measures that one triangular plot has BCAC= 4.9 miles, and mzC3.2 miles78°, and the other triangular plot4.9 miles, mZT= 78°, and ST = 3.2 miles, can he besure the two plots are congruent? If so, according to what trianglehas RTcongruence postulate? Side-Angle-Side (SAS) Triangle Congruence Postulate:If two sides and the included angle in one triangle are congruent tothe corresponding sides and angle in another triangle, then the twotriangles are congruent.Angle-Side-Angle (ASA) Triangle Congruence Postulate:If two angles and the included side in one triangle are congruent tothe corresponding angles and side in another triangle, then the twotriangles are congruent.George sketched the two plots he was evaluating and labeled them.RA

Draw the both triangles and set the relation between them.

- If George measures that one triangular plot has BC- AC = 4.9 miles, and mzC = 78°, and the other triangular plot 3.2 miles has RT 4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be sure the two plots are congruent? If so, according to what triangle congruence postulate?

- If George measures that one triangular plot has BC- AC = 4.9 miles, and mzC = 78°, and the other triangular plot 3.2 miles has RT 4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be sure the two plots are congruent? If so, according to what triangle congruence postulate?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

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2. If George measures that one triangular plot has BC
AC= 4.9 miles, and mzC
3.2 miles
78°, and the other triangular plot
4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be
sure the two plots are congruent? If so, according to what triangle
has RT
congruence postulate?

Side-Angle-Side (SAS) Triangle Congruence Postulate:
If two sides and the included angle in one triangle are congruent to
the corresponding sides and angle in another triangle, then the two
triangles are congruent.
Angle-Side-Angle (ASA) Triangle Congruence Postulate:
If two angles and the included side in one triangle are congruent to
the corresponding angles and side in another triangle, then the two
triangles are congruent.
George sketched the two plots he was evaluating and labeled them.
R
A

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