Please help me this is due in 20 mins
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Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle
a² + b² = c² ( c is the hypotenuse and a, b the legs )
let the unknown side be a , then
b = 11 and c = 15
substitute these values into the equation
a² + 11² = 15²
a² + 121 = 225 ( subtract 121 from both sides )
a² = 104 ( take square root of both sides )
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{104}[/tex], that is
a , the unknown side = [tex]\sqrt{104}[/tex] in
Answer:
[tex]\sqrt{104}\ \text{in.}[/tex]
Step-by-step explanation:
[tex]\text{Let the unknown side be }x.\\\text{Using Pythagoras theorem,}\\15^2=x^2+11^2\\\text{or, }15^2-11^2=x^2\\\text{or, }x^2=225-121\\\text{or, }x^2=104\\\text{or, }x=\sqrt{104}\ \text{in.}\ \ \ [x=-\sqrt{104}\text{ is not possible because }x\text{ is a length.}][/tex]