Question

find the perimeter. simplify your answer.
(there is a right triangle with one leg 5, one leg 4, and the hypotenuse (a - 2))

Explanation:

Step1: Recall perimeter formula for triangle

The perimeter \( P \) of a triangle is the sum of its three sides. So, \( P = \text{side}_1 + \text{side}_2 + \text{side}_3 \).

Step2: Identify the sides of the triangle

The sides are \( a - 2 \), \( 5 \), and \( 4 \).

Step3: Calculate the perimeter

Substitute the sides into the formula: \( P=(a - 2)+5 + 4 \).
Simplify the expression: \( P=a - 2+5 + 4=a+( - 2+5 + 4)=a + 7 \).

Answer:

\( a + 7 \)