Question

find the length of the missing side of the right triangle. side is 8 bottom is 15 A. 289 B. 17 C. 23. D. 4.79

Answer 1

The answer to this question would be C

Answer 2

General Idea:

Pythagorean theorem states that in a right triangle, if side of triangle is given by ' a ', bottom of the triangle is given by ' b ' and hypotenuse of triangle is given by ' c', then Sum of squares of a and b is equal to the square of hypotenuse.

$a^{2} \; +\; b^{2}\; =\; c^{2}$

Applying the Concept:

$Given\\Side\;of\;triangle\;(a)\; =\; 8\\ Bottom\;of\;triangle\;(b)=15\\ \\ To\; Find\\Hyptotenuse\;(c)\\ \\ a^{2}+b^{2}=c^{2}\\ 8^2+15^2=c^2\\ \\ 64+225=c^2\\ \\ 289=c^2\\ \\ c^2=289\\ Taking \; Square\;root\;on\;both\;sides\\ \\ \sqrt{c^2}=\sqrt{289} \\ \\ c=17$

Conclusion:

The length of the missing side of the right triangle, when side 8 & bottom 15 is 17. The correct answer is option B!!