Is right triangle

One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle.

Correct answer:

a =  54 °
b =  90 °

Step-by-step explanation:


a+b=180-36
5a=3b

a+b=180-36
5·a=3·b

a+b = 144
5a-3b = 0

Pivot: Row 1 ↔ Row 2
5a-3b = 0
a+b = 144

Row 2 - 1/5 · Row 1 → Row 2
5a-3b = 0
1.6b = 144


b = 144/1.6 = 90
a = 0+3b/5 = 0+3 · 90/5 = 54

a = 54
b = 90

Our linear equations calculator calculates it.

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: