Question

q1 - accelerated mathematics gr 8 | lesson: interpreting pythagorean theorem and its co... target due: last friday 0% what happens if (a^{2}+b^{2}<c^{2}) for the sides of a triangle? a. the triangle is isosceles b. the triangle is obtuse c. the triangle is acute d. the triangle is equilateral what is the sum of the squares of the legs of a right - triangle with sides (a = 5) and (b = 12)? a. 169 b. 144 c. 13 d. 17

Explanation:

Step1: Recall triangle - inequality rules

In a triangle, if \(a^{2}+b^{2}

Step2: Identify legs of right - triangle

In a right - triangle, the legs are \(a = 5\) and \(b = 12\).

Step3: Calculate sum of squares of legs

We need to find \(a^{2}+b^{2}\). Substitute \(a = 5\) and \(b = 12\) into the expression: \(5^{2}+12^{2}=25 + 144=169\).

Answer:

1. b. The triangle is obtuse
2. a. 169