Vermillion
contestada

On a recent test, Shawna was given the following problem:

Shawna's work is shown below:
1. a2+72=252
2. a2+14=50
3. a2=36
4. a=6 m

In which step did Shawna make an error?
Step 1. She incorrectly applied the Pythagorean theorem.
Step 2. She incorrectly squared the numbers.
Step 3. She incorrectly isolated a2
Step 4. She incorrectly solved for a.

On a recent test Shawna was given the following problem Shawnas work is shown below 1 a272252 2 a21450 3 a236 4 a6 m In which step did Shawna make an error Step class=

Respuesta :

Answer: Step 2. She incorrectly squared the numbers.


Solution:

The correct steps are:

1. a^2+7^2=25^2

2. a^2+49=625

3. a^2=576

4. a=24

In which step did Shawna make an error?

Step 2. She incorrectly squared the numbers.

Since, we are given right angled triangle

so, we use pythagoras theorem to find 'a'

step-1:

Using pythagoras theorem

[tex]a^2+7^2=25^2[/tex]

step-2:

we know that

[tex]7^2=7\times 7 =49[/tex]

[tex]25^2=25\times 25 =625[/tex]

so, we get

[tex]a^2+49=625[/tex]

she made error in second step

step-3:

Subtract both sides by 49

[tex]a^2+49-49=625-49[/tex]

[tex]a^2=576[/tex]

step-4:

Take sqrt both sides

we get

[tex]a=24[/tex]

so,

Answer is:

Step 2. She incorrectly squared the numbers.

Q&A Education