Answer:
one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]
in decimal one side = 3.16
other side = 9.48
Step-by-step explanation:
In right angle
if two sides containing right angle is a and b and h is hypotenuse then
by Pythagoras theorem
a^2 + b^2 = h^2
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let one side be x
given
One of the triangle’s legs is 3 times the length of the other leg
then other leg = 3x
given h = 10 cm
applying Pythagoras theorem
[tex]a^2 + b^2 = h^2\\x^2 + (3x)^2 = 10^2\\x^2 + 9x^2 = 100\\10x^2 = 100\\x^2 = 100/10 = 10\\x = \sqrt{10}[/tex]
Thus, one side is [tex]\sqrt{10}[/tex] and other 3[tex]\sqrt{10}[/tex]
[tex]\sqrt{10} = 3.16\\[/tex]
thus, in decimal one side = 3.16
other side = 3.16*3 = 9.48
