UPSC Exam > UPSC Questions > If the base of a right angle - triangle is 15...
Start Learning for Free
If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area?
Most Upvoted Answer
If the base of a right angle - triangle is 15 cm and it's hypotenuse i...
Understanding the Problem
To find the area of a right triangle, we need to know the base and height. In this case, the base is given as 15 cm and the hypotenuse as 25 cm. We need to calculate the height using the Pythagorean theorem.
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle:
where c is the hypotenuse, and a and b are the other two sides (base and height). Here, we know:
Calculating the Height
Using the Pythagorean theorem:
Finding the Area
The area (A) of a right triangle can be calculated using the formula:
Conclusion
The area of the triangle is 150 cm². This process demonstrates the relationship between the sides of a right triangle and how to compute its area effectively.
To find the area of a right triangle, we need to know the base and height. In this case, the base is given as 15 cm and the hypotenuse as 25 cm. We need to calculate the height using the Pythagorean theorem.
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle:
- c² = a² + b²
where c is the hypotenuse, and a and b are the other two sides (base and height). Here, we know:
- c = 25 cm (hypotenuse)
- a = 15 cm (base)
- b = ? (height)
Calculating the Height
Using the Pythagorean theorem:
- 25² = 15² + b²
- 625 = 225 + b²
- b² = 625 - 225
- b² = 400
- b = √400
- b = 20 cm (height)
Finding the Area
The area (A) of a right triangle can be calculated using the formula:
- A = (1/2) × base × height
- A = (1/2) × 15 cm × 20 cm
- A = (1/2) × 300 cm²
- A = 150 cm²
Conclusion
The area of the triangle is 150 cm². This process demonstrates the relationship between the sides of a right triangle and how to compute its area effectively.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area?
Question Description
If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area?.
If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area?.
Solutions for If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? defined & explained in the simplest way possible. Besides giving the explanation of
If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area?, a detailed solution for If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? has been provided alongside types of If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? theory, EduRev gives you an
ample number of questions to practice If the base of a right angle - triangle is 15 cm and it's hypotenuse is 25 find it's area? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup