Question

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse? (4 points)

a
82 centimeters

b
85 centimeters

c
89 centimeters

d
98 centimeters

Answer 1

Answer:

98 centimetres because

Answer 2

$Given \: in\:a \: right \: triangle \\ one \: side (a)= 18 \:cm \\and \: Second \: side(b) = 80 \:cm$

$Let \: length \: of \: the \\ hypotenuse = c \: cm$

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

$\blue{ ( By \: Phythagorean\: theorem )}$

$= 18^{2} + 80^{2} \\= 324 + 6400 \\= 6724$

$\implies c = \sqrt{ 6724 } \\= \sqrt{ 82^{2}} \\= 82 \:cm$

Therefore.,

$\red{ Length \: of \: the \: hypotenuse}\green { = 82 \: cm }$

$Option \; \pink{ ( a ) } \: is \: correct$

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