Find the missing side measures for the triangle below. ### Problem: Find the Missing Side Measures for the Triangle Below**Points: 2 Points**#### Diagram DescriptionThe image contains a right triangle, labeled as follows:- Vertex **A** at the top left with an angle of 45 degrees.- Vertex **B** at the bottom left.- Vertex **C** at the bottom right with an angle of 45 degrees.- The hypotenuse **AC** has a length of 21 units.#### Question1. **Find the missing side measures for the triangle below.**The problem provides four multiple-choice options for the length of sides **AB** and **BC**.#### Answer Choices:- **Option 1:**\[ 21\sqrt{2} \]- **Option 2:**\[ \frac{21}{2} \]- **Option 3:**\[ \frac{21\sqrt{2}}{2} \]- **Option 4:**\[ \frac{\sqrt{2}}{2} \]In the given diagram and the setup, it is suggested to use the properties of 45-45-90 triangles to find the missing side lengths.

We will use property of Isosceles tringle and Pythagoras theorem for Right angled triangle

Answered: 1.) Find the missing side measures for…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Find the missing side measures for the triangle below.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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