D. x= 18 , y= 813. If an equilateral triangle has an altitudethat is 15 inches long. What is the length ofthe perimeter of the equilateral triangle?A. 30 3B. 5 3C. 15 3D. 30

Answered: 13. If an equilateral triangle has an…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section11.6: The Pythagorean Theorem

Problem 11ST

See similar textbooks

Related questions

Question

D. x= 18 , y= 8
13. If an equilateral triangle has an altitude
that is 15 inches long. What is the length of
the perimeter of the equilateral triangle?
A. 30 3
B. 5 3
C. 15 3
D. 30

Expert Solution

Step 1

$S i n c e, w e h h a v e b e e n g i v e n t h a t a n e q u i l a t e r a l t r i a n g l e h a s a n a l t i t u d e t h a t i s 15 i n c h e s l o n g . O u r A i m i s t o f i n d t h e l e n g t h o f t h e p e r i m e t e r o f t h e e q u i l a t e r a l t r i a n g l e . L e t w e c o n s i d e r a n e q u i l a t e r a l t r i a n g l e A D C, i n w h i c h a l l s i d e s a r e e q u a l a n d a l l a n g l e s a r e 60 d e g r e e s, i f w e c u t t h e t r i a n g l e i n h a l f b y t h e a l t i t u d e o r w e c a n s a y t h a t h e i g h t o f a n e q u i l a t e r a l t r i a n g l e . B y A n g l e S u m P r o p e r t y o f a t r i a n g l e, w e h a v e : - ∠ A + ∠ B + ∠ C = 180 ° \Rightarrow 30 ° + ∠ B + 60 ° = 180 ° \Rightarrow ∠ B = 90 °$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

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