Question

Answer the following question. If three angles of a triangle are x°, 4x° , 5x° then find x. Also , determine whether the triangle is obtuse angled.​

Answer 1

Step-by-step explanation:

given,

first angle=x second angIe = 4x

third angIe = 5x

we know that,

angleA+angleB+angleC=180°

x + 4x + 5x = 180° degrees

10x = 180° degrees

x = 180°/10

x = 18°

4x=18 ×4

    =72°

5x=18×5

    = 90°

No the triangle is not an obtuse angled triangle.

It is a right angled scelene.

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Answer 2

Answer:

Given,  

First triangle = x  

Second triangle =4x  

Third triangle =5x  

We know that,  

⇒ ∠A+∠ B+∠ C=180°  

⇒ x + 4x + 5x =180°  

⇒ 10x = 180°  

⇒ x = 180/10  

⇒ x = 18

The angles of the triangle are, 30°,60°,90°

Since, one of the angles of the triangle is 90°  

It is a right angled triangle.

Since, all the angles of the triangle are different, Hence all the sides of the triangle will be different. Hence, it is a right angled scalene triangle.

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