given the triangle below, what is the length of the hypotenuse? 3 cm 5 cm a 15 cm b $sqrt{34}$ cm c…

given the triangle below, what is the length of the hypotenuse? 3 cm 5 cm a 15 cm b $sqrt{34}$ cm c $sqrt{15}$ cm d 8 cm

given the triangle below, what is the length of the hypotenuse? 3 cm 5 cm a 15 cm b $sqrt{34}$ cm c $sqrt{15}$ cm d 8 cm

Answer

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs (a) and (b) and hypotenuse (c), (c^{2}=a^{2}+b^{2}). Here (a = 3\mathrm{cm}) and (b = 5\mathrm{cm}).

Step2: Substitute values into formula

(c^{2}=3^{2}+5^{2}=9 + 25=34).

Step3: Solve for (c)

(c=\sqrt{34}\mathrm{cm})

Answer:

B. (\sqrt{34}\text{ cm})