Question

17. If the angles of a triangle are in the ratio 4: 5:9, find the measures of the angles of the
triangle and name the type of triangle.
​

Answer 1

✨ANSWER

Angles of triangle are in ration 4:5:9.

Let the angles of triangle be 4x, 5x and 9x.

Sum of all the angles of triangles = 180°

so,

4x + 5x + 9x = 180°

18x = 180°

x = 180/18

x = 10

First angle - 4x = 4× 10= 40°

Second angle - 5x = 5×10 = 50°

Third angle - 9x = 9×10 = 90°

Type of triangle- Right Angled Triangle because one of the angle is of 90°.

___________________

Thanks! ☁

Answer 2

Step-by-step explanation:

Let's call the angles

3

x

,

4

x

and

5

x

They must add up to

180

o

in a triangle, so:

3

x

+

4

x

+

5

x

=

12

x

=

180

→

x

=

180

/

12

=

15

So the angles are:

3

⋅

15

=

45

o

4

⋅

15

=

60

o

5

⋅

15

=

75

o

Check answer:

45

+

60

+

75

=

180