Question

question 2 of 10
classify the following triangle. check all that apply.

a. isosceles
b. right
c. scalene
d. acute
e. equilateral
f. obtuse

Explanation:

Step1: Check for right triangle

A right triangle has one \(90^{\circ}\) angle. The given triangle has a right - angle symbol, so it is a right triangle.

Step2: Check for side lengths

A scalene triangle has all side lengths different. Here, the side lengths are \(7\), \(9\), and \(11.4\) (all different). So it is a scalene triangle.

Step3: Check other types

• An isosceles triangle has at least two equal sides. Since \(7

eq9
eq11.4\), it is not isosceles.

• An equilateral triangle has all sides equal. Since \(7

eq9
eq11.4\), it is not equilateral.

• An acute triangle has all angles less than \(90^{\circ}\). But this triangle has a \(90^{\circ}\) angle, so it is not acute.
• An obtuse triangle has one angle greater than \(90^{\circ}\). But this triangle has a \(90^{\circ}\) angle (not greater than \(90^{\circ}\)), so it is not obtuse.

Answer:

B. Right, C. Scalene