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Using the given information, complete the following problem. Given: △ABC ≅ △RST If AB = 6, ST = 8, AC = 12, ∠A = 40°, ∠T = 20°, then find the length of RS.RS = _______ a0

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CelticGurdian
the length will be 6 and the angle bc is 120
lublana

Answer:

The length of RS=6.

Step-by-step explanation:

We are given that triangle ABC and triangle RST are congruent.

[tex]\triangle ABC\cong \triangle RST[/tex]

We are given that

If AB=6

ST=8

AC=12

[tex]\angle A=40^{\circ}[/tex]

[tex]\angle T=20^{\circ}[/tex]

We know that when two triangles are congruent then corresponding angles and corresponding sides are congruent.

Therefore , by using definition of congruent triangles we have

AB[tex]\cong[/tex] RS

Measure of side AB= Measure of side RS

Measure of side RS=6 units .

Hence, the length of RS=6 units.

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