Try the fastest way to create flashcards
Question

The ratio of the angle measures in a triangle is 5: 12: 19 . What is the measure of the largest angle?

Solution

Verified
Step 1
1 of 2

From the given ratio the following holds

5x+12x+19x=180o;36x=180o;x=5o;\begin{equation*} \begin{split} 5x+12x+19x&=180^o;\\ 36x&=180^o;\\ x&=5^o;\\ \end{split} \end{equation*}

The measure of the largest angle is

19x=195o=95o;\begin{equation*} \begin{split} \textcolor{#4257b2}{19x}&=19\cdot5^o=\textcolor{#4257b2}{95^o};\\ \end{split} \end{equation*}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Holt Geometry, Student Edition 1st Edition by David J. Chard, Earlene J. Hall, Edward B. Burger, Freddie L. Renfro, Holt McDougal, Paul A. Kennedy, Steven J. Leinwand

Holt Geometry, Student Edition

1st EditionISBN: 9780030358289 (1 more)David J. Chard, Earlene J. Hall, Edward B. Burger, Freddie L. Renfro, Holt McDougal, Paul A. Kennedy, Steven J. Leinwand
5,794 solutions
Geometry 1st Edition by Carter, Cuevas, Cummins, Day, Malloy

Geometry

1st EditionISBN: 9780076639298Carter, Cuevas, Cummins, Day, Malloy
4,575 solutions
enVision Geometry 1st Edition by Al Cuoco

enVision Geometry

1st EditionISBN: 9780328931583 (3 more)Al Cuoco
2,702 solutions
Big Ideas Math Geometry: A Common Core Curriculum 1st Edition by Boswell, Larson

Big Ideas Math Geometry: A Common Core Curriculum

1st EditionISBN: 9781608408399 (1 more)Boswell, Larson
4,072 solutions

More related questions