Question

based on the image, what is the length of the hypotenuse? question 2 which triangle is a right triangle based on side lengths?

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 6\), \(b = 8\). Substitute into the formula:
$$6^{2}+8^{2}=c^{2}$$

Step2: Calculate squares

$$36 + 64=c^{2}$$

Step3: Sum and find square root

$$100=c^{2}$$
$$c=\sqrt{100}=10$$

Answer:

10