Question

The length of sides of a right-angled triangle are (x—2)cm, xcm and (x+2)cm.
how much
length of hypotenuse is?

Answer 1

Answer:

Step-by-step explanation:Let [math]x+2=y[/math]

Also it should be noted that [math]x+4=y+2[/math] is the hypotenuse. Because we know that it's got to be the longest side.

By the Pythagoras theorem,

[math](y-2)^2+y^2=(y+2)^2[/math]

[math]y^2=(y+2)^2+(y-2)^2[/math]

[math]y^2=4(y)(2)[/math]

Since we don't like it when [math]y[/math] is zero,

[math]y=8[/math].

Therefore [math]x=6[/math]. The hypotenuse is 10cm long.

The sides of the triangle are 6cm, 8cm and 10cm.