Question

lesson 7: triangles pythagorean theorem which of the following is the length of the missing side in the illustration to the right? a. 25 cm b. 3 cm c. 4.3 cm d. 5 cm check answer

Explanation:

Step1: Identify the triangle type

The triangle is a right - triangle with legs \(a = 3\space cm\) and \(b=4\space cm\). We use the Pythagorean theorem \(c^{2}=a^{2}+b^{2}\) to find the hypotenuse \(c\).

Step2: Apply the Pythagorean theorem

Substitute \(a = 3\) and \(b = 4\) into the formula: \(c^{2}=3^{2}+4^{2}=9 + 16=25\).

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{25} = 5\space cm\).

Answer:

d. 5 cm