How many right angles in a triangle

So, a triangle cannot have 2 obtuse angles. What is a scalene triangle? Scalene Triangle. A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. What angles identify an obtuse triangle? Can a triangle have 3 obtuse angles? Triangle cannot have more than one obtuse angle because there are 3 side and if you add three sides it equals to degree and obtuse angle is greater than 90 degree and the other two has to be less than 90 degree.

By definition, the sum of angles of a triangle is degrees. Can a triangle have 2 right angles? Answer and Explanation: Because of the fact that the sum of the three interior angles of a triangle must be degrees, a triangle could not have two right angles. Each right angle measures 90 degrees, so two right angles would therefore give a sum of degrees. What makes a right triangle?

A right triangle American English or right-angled triangle British English is a triangle in which one angle is a right angle that is, a degree angle.

The side opposite the right angle is called the hypotenuse side c in the figure. False: Both angles of a right triangle that are not right must be acute. False: The measures of any triangle total. In triangle , what is the measure of angle?

To solve for the measure of angle , we plug in the values of and. Since angle is a right angle, we know the measure will be. The right triangle has two equal angles, what is each of their measures? The internal angles of a triangle always add up to degrees, and it was given that the triangle was right, meaning that one of the angles measures 90 degrees.

This leaves 90 degrees to split evenly between the two remaining angles as was shown in the question. The angles of a triangle all add up to. This means that. Using the fact that 90 is half of , we can figure out that the missing angle, x, plus 34 adds to the remaining 90, and we can just subtract. Solve for :. The angles of a triangle add together to degrees. We already know that one of the angles is 90 degrees, so we can subtract 90 from the other 2 angles have to add to 90 degrees.

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Possible Answers: None of these. Explanation : First, know that all the angles in a triangle add up to degrees. Reject All Cookies. The right triangle :. The equilateral triangle :.

In the equilateral triangle, all the sides are the same length congruent and all the angles are the same size congruent. The right triangle properties are listed below:. This implies that the other two angles in the triangle will be acute angles. There are a few special right triangles namely the isosceles right triangles and the scalene right triangles. The triangle having both the other two angles equal is referred to as an isosceles right triangle, and the triangle with the other two angles having different values is called a scalene right triangle.

PQ is not equal to QR, hence, it is a scalene triangle. Example 1: Can a right triangle have 11 inches, 60 inches, and 61 inches as its dimensions?

If 11, 60, and 61 are a Pythagorean triplet, they will form a right triangle. Hence, the given numbers are a Pythagorean triplet and can be the dimensions of a right triangle. Therefore, 11 inches, 60 inches, and 61 inches form a right triangle. Example 2: Find the area of a right-angled triangle whose base is 12 units and height is 5 units.

Therefore, the area of the right triangle is 30 square units. Example 3: The perimeter of a right triangular swimming pool is units. The three sides of the pool are in the ratio Find the area of the pool. The right triangle perimeter is the sum of the measures of all the sides.

Therefore, the area of the swimming pool is square units. A triangle in which one of the measures of the angles is 90 degrees is called a right-angled triangle or right triangle. The triangles are classified based on the measurement of the sides and the angles.