Question

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:
Substitute the values into the Pythagorean theorem: 18^2 +24^2=30^2


Step 3:
Combine like terms: (18+24)^2+30^2

Step 4:
Evaluate each side: 1764≠900

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

A) The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

B) The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

C) The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

D) The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answer 1

Answer: c

Explanation:

just took the test

Answer 2

Option C is correct.

Explanation:

Given that Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

we have to choose the correct statement.

Given sides of triangle are 18, 24 and 30

As,

`18^2 +24^2=30^2`

`324+576=900`

`900=900`

here, given triangle is right angled triangle.

correct option is

C) The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.