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Verified Answer :

calculista

we know that

The triangle is acute  if the larger angle is less than \(90\) degrees

The triangle is right  if the larger angle is equal to \(90\) degrees

The triangle is obtuse  if the larger angle is greater than \(90\) degrees

Remember that

The sum of the internal angles of a triangle is equal to \(180\) degrees

so

In this problem

\(x+2x+3x=180\°\)

Solve for x

\(6x=180\°\)

\(x=30\°\)

The angles of the triangle are

\(30\°-60\°-90\°\)

The larger angle is equal to \(90\) degrees

therefore

the answer is

right

Answer:

Right.

Step-by-step explanation:

According to the types of angles there are three types of triangle,

1) Acute triangle : a triangle with three acute angles (less than 90°)

2) Obtuse triangle : a triangle which having one obtuse angle (greater than 90°) and two acute angles.

3) Right triangle : a triangle which having one right angle and two acute angles.

Given,

The measures of the angles in a triangle are x, 2x, and 3x.

We know that the sum of all 3 interior angles of a triangle is supplementary,

⇒ x + 2x + 3x = 180° ⇒ 6x = 180° ⇒ x = 30°,

Hence, the measurement of the angles in the given triangle are,

30°, (2×30)°, (3×30)°

= 30°, 60°, 90°

Thus, by the above definitions,

Given triangle is right.

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