Can the set of lengths be the side lengths of a right triangle?
7ft, 12ft, 17 ft
a. yes
b. no
c. not enough information to answer the question

B. No.

Step-by-step explanation:

We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.

We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.

Since the sum of  squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.

 Hello there!

We know that in a right triangle, the sum of the squares of the cathetus is equal to the square of the hypotenuse.

the smaller sides given are:

7ft and 12ft, and the longest is 17ft

so if this triangle is a right triangle, we should have that:

7^2 + 12^2 = 17^2

17^2 = 289

7^2 + 12^2 = 193

The terms are different, which means that this is not a right triangle, then the correct answer is B.

Just look at step by step explanation :\

Step-by-step explanation:

a.

Slope: rise/run

Use slope formula: (y1-y2)/(x1-x2)

Substitute x1=8, y1=9, x2=-2, y2=4

—> (9-4)/(8-(-2)) —> 5/10 —> 1/2

Slope(m) is 1/2

b.

Point slope form: y1-y2=m(x1-x2)

Plug in everything. x1=8, y1=9, x2=-2, y2=4, m=1/2

Point slope form with everything plugged in: 9-4=1/2(8+2)

Simplified if you want?: 5=5

c.

Linear equation form: y=mx+b

Equation so far: y=1/2x+b (m is slope. b is y intercept)

Plug in a point you have into the equation. For ex: I’ll plug in (-2,4)

4=1/2*-2+b

Solve it

4=-1+b

b=5

Now write the completed equation of the line: y=1/2x+5

Hope this helps :)))