Question

If the angles of a triangle is in the ratio 4:5:9. Find the measurement of the angles ​

Answer 1

Answer:

let the angles be 4x,5x and 9x

4x+5x+9x=180 ∘

18x=180 ∘

⇒x=10 ∘

So the angles are

4×10 ∘

=40 ∘

5×10 ∘

=50 ∘

9×10 ∘

=90

One of the angle is 90 ∘

, so the triangle is right angled triangle.

Step-by-step explanation:

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Answer 2

→ Let the angles be 4x,5x,9x.

Now ,

$→ 4x+5x+9x=180(ASP)$

$→ 18x=180$

$→ x= 10$

So ,

$→ 4×10=40$

$→ 5× 10= 50$

$→9× 10=90$

• Hence, sides of he triangle are 40cm, 50cm, and 90cm respectively.

• So, it's is a scalene triangle ,as the angles are not equal.