Question

Refer to the right triangle shown.

Answer 1

a. Solve for x. x=16

b. The lenght of the missing side is 10 units.

Explanation:

a.

x-6>0 x>6

According to the Pythagorean theorem: a²+b²=c².

Hence,

`(x-6)^2+24^2=26^2\\x^2-2*x*6+6^2+24*24=26*26\\x^2-12x+6*6+576=676\\x^2-12x+36+576-676=676-676\\x^2-12x-64=0\\x^2-12x-4x+4x-64=0\\x^2-16x+4x-64=0\\(x*x-16x)+(4x-64)=0\\x*(x-16)+4*(x-16)=0\\(x-16)*(x+4)=0\\x-16=0\\x_1=16\\x+4=0\\x_2=-4\\otin\\`

b.

`16-6=\\10`

Answer 2

1/2 of an answer is zero answer.

Explanation: