Question

3) How could Tyler have made a more specific request for 2 sides and an angle so that his triangle was guaranteed to match Jada's?

Answer 1

His specific request will be any of the following:

• A triangle of side lengths 4 and 5, with a measure of 143 degrees between them

• A triangle of side lengths 5 and 8.5, with a measure of 16 degrees between them

• A triangle of side lengths 8.5 and 4, with a measure of 21 degrees between them

Explanation:

Given

See attachment for complete question

Required

Specific information to match Jada's request

From the attachment, we have the following:

Triangle 1: Jada's request

Triangle 2: The triangle made by Tyler

The two triangles are not congruent because:

• The side lengths do not correspond

How did we know this?

On Jada's triangle, the longest side is 8.5

On the triangle, Tyler made; the longest side is 5 and does have a corresponding ratio to Jada's triangle

Having said this; this is what Jada needs to do;

He needs to make his request based on any of the following postulate

`SSS \to Side\ Side\ Side`

`SAS \to Side\ Angle\ Side`

`ASA \to Angle\ Side\ Angle`

However, the best postulate to use in this regard is:

`SAS \to Side\ Angle\ Side`

So, his specific request will be any of the following:

• A triangle of side lengths 4 and 5, with a measure of 143 degrees between them
• A triangle of side lengths 5 and 8.5, with a measure of 16 degrees between them
• A triangle of side lengths 8.5 and 4, with a measure of 21 degrees between them