Question

The ratio of the measures of the three angles in a triangle is 10:3:7. Find the measures of the largest angle

Answer 1

The largest angle will be
`90`°

Explanation:

Given the ratio of the measures of the angles of triangle is
`10:3:7`

Let the angle of the triangle be
`10x,\ 3x,\ 7x`

Also, we know the sum of interior angle of any triangle will be equal to
`180` degrees.

So, we can write an equation

`10x+3x+7x=180\\20x=180\\x=(180)/(2)\\x=9`

Now, we are told to find the largest angle.

We can see the
`10x` is largest among
`3x\ and\ 7x`.

So, the largest angle will be
`10x=10* 9=90`°