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3. Classify each triangle by its angles and then by its sides. Triangle Classify by Angles Classify by Sides R.

3. Classify each triangle by its angles and then by its sides. Triangle Classify by Angles Classify by Sides R.

Elementary Geometry For College Students, 7e
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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Please help me I am so stuck ibe been on this problem forever now
**Classify Each Triangle by Its Angles and Then by Its Sides** 1. **Triangle ABC** - Visual: An equilateral triangle. - Classification by Angles: Equilateral - Classification by Sides: Equilateral 2. **Triangle PQR** - Visual: An obtuse triangle with one angle greater than 90 degrees. - Classification by Angles: Obtuse - Classification by Sides: Scalene 3. **Right Triangle** - Visual: A right triangle with a 90-degree angle. - Classification by Angles: Right - Classification by Sides: Scalene **Determine If the Triangles Below Are Similar by Finding If Their Corresponding Sides Are Proportional** - Two triangles are shown. 1. **Triangle ABC** - Side AC = 10 - Side AB = 6 - Side BC = 8 2. **Triangle DEF** - Side DF = 15 - Side EF = 12 - Side DE is not labeled, inferred to be proportional to other triangle side lengths if similar. - To determine if triangles ABC and DEF are similar, verify if the ratios of corresponding sides (10/15, 6/12, 8/x) are equal. **Page 7.17**
Transcribed Image Text:**Classify Each Triangle by Its Angles and Then by Its Sides** 1. **Triangle ABC** - Visual: An equilateral triangle. - Classification by Angles: Equilateral - Classification by Sides: Equilateral 2. **Triangle PQR** - Visual: An obtuse triangle with one angle greater than 90 degrees. - Classification by Angles: Obtuse - Classification by Sides: Scalene 3. **Right Triangle** - Visual: A right triangle with a 90-degree angle. - Classification by Angles: Right - Classification by Sides: Scalene **Determine If the Triangles Below Are Similar by Finding If Their Corresponding Sides Are Proportional** - Two triangles are shown. 1. **Triangle ABC** - Side AC = 10 - Side AB = 6 - Side BC = 8 2. **Triangle DEF** - Side DF = 15 - Side EF = 12 - Side DE is not labeled, inferred to be proportional to other triangle side lengths if similar. - To determine if triangles ABC and DEF are similar, verify if the ratios of corresponding sides (10/15, 6/12, 8/x) are equal. **Page 7.17**
**Unit 7 Topic 4: The Pythagorean Theorem** --- **1.** Use the Pythagorean Theorem to find the missing side. Round to nearest tenth if needed. Diagram: - A right triangle with sides labeled: one leg \(6\), the other leg \(7\), and the hypotenuse labeled \(x\). --- **2.** Use the Pythagorean Theorem to find the missing side. Round to nearest tenth if needed. Diagram: - A right triangle with one leg measuring \(24 \text{ in.}\) and the other leg measuring \(7 \text{ in.}\). --- **3.** Troy is building a ramp for his toy cars. The plank he is using for the ramp is \(10\) feet long and is placed on a \(2\)-ft high box. How far from the box is the bottom edge of the ramp in feet. Round to the nearest tenth if needed. Diagram: - A right triangle formed by the ground, the height of the box (\(2 \text{ ft}\)), and the ramp (\(10 \text{ ft}\)). The base of the triangle is labeled \(b\). ---
Transcribed Image Text:**Unit 7 Topic 4: The Pythagorean Theorem** --- **1.** Use the Pythagorean Theorem to find the missing side. Round to nearest tenth if needed. Diagram: - A right triangle with sides labeled: one leg \(6\), the other leg \(7\), and the hypotenuse labeled \(x\). --- **2.** Use the Pythagorean Theorem to find the missing side. Round to nearest tenth if needed. Diagram: - A right triangle with one leg measuring \(24 \text{ in.}\) and the other leg measuring \(7 \text{ in.}\). --- **3.** Troy is building a ramp for his toy cars. The plank he is using for the ramp is \(10\) feet long and is placed on a \(2\)-ft high box. How far from the box is the bottom edge of the ramp in feet. Round to the nearest tenth if needed. Diagram: - A right triangle formed by the ground, the height of the box (\(2 \text{ ft}\)), and the ramp (\(10 \text{ ft}\)). The base of the triangle is labeled \(b\). ---
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