\(\textbf{1)}\) Solve for x.
The answer is \(x=2\)
\(\,\,\,\,\,\,\text{The legs in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,3x+5=5x+1\)
\(\,\,\,\,\,\,5=2x+1\)
\(\,\,\,\,\,\,4=2x\)
\(\,\,\,\,\,\,\)The answer is \(x=2\)
\(\textbf{2)}\) Solve for x.
The answer is \(x=60\)
\(\,\,\,\,\,\,\text{The base angles in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,x-10=50\)
\(\,\,\,\,\,\,\)The answer is \(x=60\)
\(\textbf{3)}\) Solve for x.
The answer is \(x=65\)
\(\,\,\,\,\,\,\text{The base angles in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,x+x+50=180\)
\(\,\,\,\,\,\,2x=130\)
\(\,\,\,\,\,\,\)The answer is \(x=65\)
\(\textbf{4)}\) Solve for x.
The answer is \(x=40\)
\(\,\,\,\,\,\,\text{The base angles in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,x+70+70=180\)
\(\,\,\,\,\,\,x+140=180\)
\(\,\,\,\,\,\,\)The answer is \(x=40\)
\(\textbf{5)}\) Solve for x and y.
The answer is \(x=8, y=50\)
\(\,\,\,\,\,\,\text{The base angles in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,2\text{(Base Angle)}+96=180\)
\(\,\,\,\,\,\,2\text{(Base Angle)}=84\)
\(\,\,\,\,\,\,\text{(Base Angle)}=42\)
\(\,\,\,\,\,\,\text{(Base Angle)}=5x+2=42\)
\(\,\,\,\,\,\,5x=40\)
\(\,\,\,\,\,\,x=8\)
\(\,\,\,\,\,\,\text{(Base Angle)}=y-8=42\)
\(\,\,\,\,\,\,y=50\)
\(\,\,\,\,\,\,\)The answer is \(x=8, y=50\)
\(\textbf{6)}\) Solve for x and y.
The answer is \(x=52, y=32\)
\(\,\,\,\,\,\,\text{The base angles in an isosceles triangle are congruent.}\)
\(\,\,\,\,\,\,y+32=2y\)
\(\,\,\,\,\,\,32=y\)
\(\,\,\,\,\,\,\left(6y+32\right)+\left(2y\right)=180\)
\(\,\,\,\,\,\,\left(64\right)+\left(64\right)+x=180\)
\(\,\,\,\,\,\,128+x=180\)
\(\,\,\,\,\,\,x=52\)
\(\,\,\,\,\,\,\)The answer is \(x=52, y=32\)
\(\textbf{7)}\) This is an isosceles triangle. What are the possible values of x?
The answer is \(x=69\)
See Related Pages\(\)
\(\,\, A=\frac{1}{2}bh, \,\, P=s_1+s_2+s_3…\)