Question

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

Answer 1

the length will be 6 and the angle bc is 120

Answer 2

The length of RS=6.

Explanation:

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

`\triangle ABC\cong \triangle RST`

We are given that

If AB=6

ST=8

AC=12

`\angle A=40^(\circ)`

`\angle T=20^(\circ)`

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
`\cong` RS

Measure of side AB= Measure of side RS

Measure of side RS=6 units .

Hence, the length of RS=6 units.