6.check my work!! ### Using Triangles to Find Side LengthsUsing the triangles below, answer the following correctly.#### Triangle A- A right-angled triangle with sides labeled as follows: - One leg is 6 units long. - The hypotenuse is marked as \( y \). - The other leg is marked as \( x \) and adjacent to the 45-degree angle.``` 6 |\ | \ | \ | \ y | \ | \ | \ |-------\ x 45°```#### Triangle B- A right-angled triangle with sides labeled as follows: - One leg is \( 14\sqrt{3} \) units long. - The hypotenuse is marked as \( y \). - The shorter leg is marked as \( x \) and adjacent to the 30-degree angle.``` y |\ | \ | \ | \30° | \ | \ |------\ x 14√3```### CalculationsFor **Triangle A**, to help find the sides, use the ratio for a 45-45-90 triangle: \( 1 : 1 : \sqrt{2} \).Then,- \( x = 6\sqrt{2} \)- \( y = 6 \)For **Triangle B**, to help find the sides, use the ratio for a 30-60-90 triangle: \( 1 : \sqrt{3} : 2 \).Then,- \( x = 7 \)- \( y = 7\sqrt{3} \)### Key Concepts- **45-45-90 Triangle**: This is an isosceles right triangle where the legs are equal, and the hypotenuse is the leg length multiplied by \( \sqrt{2} \).- **30-60-90 Triangle**: This is a special right triangle where the shortest leg is opposite the 30-degree angle, the hypotenuse is twice the length of the shortest leg, and the other leg is the shortest leg multiplied by \( \sqrt{3} \).

Using the triangles below, answer the folowing correctly. Triangle A Triangle B 14 V3 30 45 For Triangle A, to help find the sides, I should use: 1 1:1: 2 Then x = 6/2 and y = 7 and y = 7/3 For Triangle B, to help find the sides, I should use: 1: 3: 2 Then x =1

Using the triangles below, answer the folowing correctly. Triangle A Triangle B 14 V3 30 45 For Triangle A, to help find the sides, I should use: 1 1:1: 2 Then x = 6/2 and y = 7 and y = 7/3 For Triangle B, to help find the sides, I should use: 1: 3: 2 Then x =1

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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