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Which best explains why this triangle is or is not a right triangle? A triangle has side lengths 60 inches, 144 inches, 156 inches.

A. This triangle is not a right triangle: 156 squared + 60 squared not-equals 144 squared.
B. This triangle is not a right triangle: 156 squared + 144 squared not-equals 60 squared.
C. This triangle is a right triangle: 60 squared + 156 squared = 144 squared.
D. This triangle is a right triangle: 60 squared + 144 squared = 156 squared.

Answer :

Answer:

Option D.

Step-by-step explanation:

It is given that a triangle has side lengths 60 inches, 144 inches, 156 inches.

According to the Pythagoras theorem, in a right angle triangle

[tex]hypotenuse^2=perpendicular^2+base^2[/tex]

It means in a right angle triangle, square of largest side is equal to the sum of square of two smaller sides.

In the given triangle two smaller sides are 60 inches and 144 inches.

[tex](60)^2+(144)^2=3600+20736=24336[/tex]

The largest side is 156 inches.

[tex](156)^2=24336[/tex]

Since [tex](60)^2+(144)^2=(156)^2[/tex], so by Pythagoras theorem the given triangle is a right angle triangle.

Therefore, the correct option is D.

tanvii56

Answer:

D. This triangle is a right triangle: 60 squared + 144 squared = 156 squared.

(I'm so sorry if t's wrong)

Hope this Helps!

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