Which theorem is correct

Mathematics

2 answers:

kogti [31]3 years ago

5 0

Answer:

The SSS theorem

Step-by-step explanation:

Aleks [24]3 years ago

5 0

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

You might be interested in

Find the value of the length a x rounded to 1 DP. The diagram is not drawn accurately

son4ous [18]

Answer:

x ≈ 3.7 m

Step-by-step explanation:

Use the right triangle on the left to find the height h , using the sine ratio

sin39° = $\frac{opposite}{hypotenuse}$ = $\frac{h}{7}$ ( multiply both sides by 7 )