Answer:
Step-by-step explanation:
C(0,0)
the length of AC is equal to BD
the length of BD is equal to AC
It will automatically be over 1
Vertical angles are congruent...they are equal....so set them equal to each other and solve for x
6x - 22 = 4x + 2
6x - 4x = 2 + 22
2x = 24
x = 24/2
x = 12 <==
Let
x------------> <span>The length of one leg
</span>y------------> <span>The length of second leg
</span>
we know that
H=50 cm
x=2y
<span>applying the Pythagorean theorem
H</span>²=x²+y²--------> 50²=(2y)²+y²---------> 2500=4y²+y²-----> y²=2500/5
y=√500--------> y=22.4 cm
<span>so
</span>x=2y--------> x=2*22.4--------> x=44.8 cm
<span>
the answer is
</span><span>the lengths of the legs of the triangle are
</span>44.8 cm
and
22.4 cm
If you multiply or divide by a positive number the inequality sign DOES NOT CHANGE!
If you multiply or divide by a negative number the inequality sign flips around and becomes the opposite.