Question

In a right-angled triangle

smallest angle : largest angle = 3:5
Work out the three angles of the triangle.
Your final line should be written like this. The angles are ... , ... , ...

Answer 1

Answer:
`36^(\circ), 54^(\circ), 90^(\circ)`

Explanation:

Given

Triangle is right-angled

The ratio of smallest and largest angle is 3:5

let the angles be 3x and 5x

In a right-angled triangle, the largest angle is
`90^(\circ)`

`\therefore5x=90^(\circ)`

`x=(90^(\circ))/(5)=18^(\circ)`

3x is the smallest angle. Its complementary angle is
`90^(\circ)-3x=90^(\circ)-3*18^(\circ)`

Complementary angle is
`36^(\circ)`

`3x=54^(\circ)`

`5x=5*18^(\circ)=90^(\circ)`