Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Bartleby Related Questions Icon

Related questions

Q: Find the missing parts of the triangle. A=10.5degrees a=149ft b=176ft
A:
Q: Find x and the perimeter of the triangle 39 cm 36 cm
A:
Q: 11 cm 10 cm (e) B 9 cm
A: Given a triangle with sides a=9, b=10 and c=11 To find ∠A According to Law of Cosines…
Q: 11 cm 2 cm
A:
Q: 8. 15 in 7. 9 mm 8 in 12.4 mm. 10 mm 21 in 18 mm 13 mm
A: We need to find the surface area of both prism shown in the 2 figures.
Q: Find the missing parts of the triangle  C=90degree c=26m a=52m
A:
Q: Find the area of the figure. 1.6 cm 2 cm 2.4 cm The area is square centimeters.
A: We used formula A = (a+b)*h/2
Q: 5 cm 8 cm 6.8 cm
A: We have a triangle  In which, base=5 cm, height = 6.8 cm
Q: What is the area of the triangle? The triangle below is an equilateral triangle. 10 cm h b
A: Given Triangle is Area of triangle=?
Q: Find the area of each triangle. 1. 8 cm 5 cm
A:
Q: 14 m 8 m 7 m 16 m
A: It can be solve by using formula, area of the triangle is 1/2×base×height
Q: с ст 48 ст 14 ст
A: As the given triangle is a right angled triangle therefore we use the pythagorus theorem to find the…
Q: Find the circumference. Leave the answer in terms of T. 25. 5.3 cm O5.37 cm O 10.67 cm O2.65 7 cm…
A: Circumference of circle is 2pi r
Q: What is the value of x in the triangles?
A: Explanation of the solution is given below...
Q: Find the area of the Kite.
A: Given,          The figure of the kite is shown below :
Question
### Finding the Height of a Triangle #### Problem Statement: b. Find the height \( h \) of the triangle. #### Diagram Explanation: The given image shows a right-angled triangle with the following side lengths: - The base of the triangle is 8 cm. - One side of the triangle (not the hypotenuse) is 4 cm. - The hypotenuse (the longest side opposite the right angle) is 10 cm. In the diagram, the height \( h \) is perpendicular to the given base and forms a right angle with it. The height splits the original triangle into two smaller right-angled triangles. #### Solution: To find the height \( h \), we can use the Pythagorean theorem, which states: \[ a^2 + b^2 = c^2 \] Here, we can consider the two right-angled triangles formed. Let's solve it step by step: 1. **Identify the right triangles and apply the Pythagorean Theorem**: - For the smaller triangle with sides \( h \) and 4 cm, and hypotenuse 10 cm: \[ h^2 + 4^2 = 10^2 \] \[ h^2 + 16 = 100 \] \[ h^2 = 84 \] \[ h = \sqrt{84} \] \[ h = 2\sqrt{21} \, \text{cm} \] 2. **Verifying the height**: - Ensure the obtained height is reasonable considering the overall dimensions of the original triangle. #### Conclusion: The height \( h \) of the triangle is \( 2\sqrt{21} \, \text{cm} \). Understanding the geometric relations in triangles is crucial for solving problems involving heights. The Pythagorean theorem provides a reliable method when dealing with right-angled triangles.
expand button
Transcribed Image Text:### Finding the Height of a Triangle #### Problem Statement: b. Find the height \( h \) of the triangle. #### Diagram Explanation: The given image shows a right-angled triangle with the following side lengths: - The base of the triangle is 8 cm. - One side of the triangle (not the hypotenuse) is 4 cm. - The hypotenuse (the longest side opposite the right angle) is 10 cm. In the diagram, the height \( h \) is perpendicular to the given base and forms a right angle with it. The height splits the original triangle into two smaller right-angled triangles. #### Solution: To find the height \( h \), we can use the Pythagorean theorem, which states: \[ a^2 + b^2 = c^2 \] Here, we can consider the two right-angled triangles formed. Let's solve it step by step: 1. **Identify the right triangles and apply the Pythagorean Theorem**: - For the smaller triangle with sides \( h \) and 4 cm, and hypotenuse 10 cm: \[ h^2 + 4^2 = 10^2 \] \[ h^2 + 16 = 100 \] \[ h^2 = 84 \] \[ h = \sqrt{84} \] \[ h = 2\sqrt{21} \, \text{cm} \] 2. **Verifying the height**: - Ensure the obtained height is reasonable considering the overall dimensions of the original triangle. #### Conclusion: The height \( h \) of the triangle is \( 2\sqrt{21} \, \text{cm} \). Understanding the geometric relations in triangles is crucial for solving problems involving heights. The Pythagorean theorem provides a reliable method when dealing with right-angled triangles.
Expert Solution
Check Mark
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
bartleby
This is a popular solution
See solutionCheck out a sample Q&A here
Step 1
VIEW
Step 2
VIEW
bartleby

Trending nowThis is a popular solution!

bartleby

Step by stepSolved in 2 steps with 3 images

See solution
Check out a sample Q&A here
Blurred answer
Knowledge Booster
Background pattern image
Geometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
SEE MORE TEXTBOOKS