Question

question 29 of 45
△crv has side - lengths that measure 10 centimeters, 12 centimeters, and 15 centimeters. which of the following best describes this type of triangle?
a. isosceles triangle
b. scalene triangle
c. obtuse triangle
d. equilateral triangle

Explanation:

Step1: Recall triangle - type definitions

An isosceles triangle has two equal - length sides. A scalene triangle has all sides of different lengths. An equilateral triangle has all sides equal. An obtuse triangle has one angle greater than 90 degrees.

Step2: Analyze side - lengths of △CRV

The side - lengths of △CRV are 10 cm, 12 cm, and 15 cm. Since all three side - lengths are different, it cannot be an isosceles or equilateral triangle. To determine if it is obtuse, we can use the Pythagorean theorem's converse \(c^{2}>a^{2}+b^{2}\) (where \(c\) is the longest side). Here, \(a = 10\), \(b = 12\), and \(c = 15\). Calculate \(a^{2}+b^{2}=10^{2}+12^{2}=100 + 144=244\) and \(c^{2}=15^{2}=225\). Since \(c^{2}

Answer:

B. Scalene triangle