---### Analyzing Right Triangles#### QuestionWhich **best explains** why this triangle is or is not a right triangle?#### DiagramA triangle is shown with the following side lengths:- One side is 144 inches.- The other side is 156 inches.- The base is 60 inches.#### Answer Options- ⃝ This triangle is not a right triangle: $ 156^2 + 60^2 \neq 144^2 $- ⃝ This triangle is not a right triangle: $ 156^2 + 144^2 \neq 60^2 $- ⃝ This triangle is a right triangle: $ 60^2 + 144^2 = 156^2 $#### Instructions- **Mark this and return** - Allows you to mark the question and return to it later.- **Save and Exit** - Allows you to save your answer and exit the current session.- **Next** - Moves to the next question.#### ExplanationTo determine if a triangle is a right triangle, we use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse $c$ is equal to the sum of the squares of the lengths of the other two sides $a$ and $b$:\[a^2 + b^2 = c^2\]For the given sides: - $ 144 \text{ in} $- $ 156 \text{ in} $- $ 60 \text{ in} $Calculate:\[ 60^2 + 144^2 = 3600 + 20736 = 24336 \]\[ 156^2 = 24336 \]Since the sums are equal, the triangle is indeed a right triangle. Hence, the correct answer is:- ⃝ This triangle is a right triangle: $ 60^2 + 144^2 = 156^2 $---

Right angle triangle need to satisfy Pythagoras theorem. We need to check whether triangle is right…

Which best explains why this tnangle is or is not a right triangle? 144 in. 156 in. 60 in. O This triangle is not a right triangle 1562+60+ 1442. O This triangle is not a right triangle 1562+144 60 O This triangle is a right triangle en2 1562 - 1442

Which best explains why this tnangle is or is not a right triangle? 144 in. 156 in. 60 in. O This triangle is not a right triangle 1562+60+ 1442. O This triangle is not a right triangle 1562+144 60 O This triangle is a right triangle en2 1562 - 1442

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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