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• Geometry
• Triangles
• Isosceles triangle

# Isosceles triangle

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•  Question 1: 1 pts Find the value of $x.$
 $8cm$ $7cm$ $4cm$ $2cm$
•  Question 2: 1 pts Find the value of $x.$
$x=$
•  Question 3: 1 pts In an isosceles triangle, the angles across from the congruent sides are congruent. Also the sides across from congruent angles are congruent.
•  Question 4: 1 pts Find the value of $y.$
 $y=90^{\circ}$ $y=60^{\circ}$ $y=45^{\circ}$ $y=30^{\circ}$
•  Question 5: 2 pts Find the value of $x$ and $y.$
$x$ and $y$ are, respectively, equal to
•  Question 6: 2 pts What is the lateral side of an isosceles triangle with area $20$ unit$^{2}$ and base $10$ units?
 $b=\sqrt{21}$ $b=\sqrt{31}$ $b=\sqrt{41}$ $b=\sqrt{51}$
•  Question 7: 2 pts What is the area of an isosceles triangle with base $b$ of $8 cm$ and lateral $a$ side $5 cm?$
Area $=$
•  Question 8: 2 pts $x=70^{\circ}$ and $y=5.$
•  Question 9: 3 pts What is the lateral side of an isosceles triangle such that its height $h$ ( perpendicular to its base $b$) is $4 cm$ shorter than its base $b$ and its area is $30 cm^{2}$?
$a=$
•  Question 10: 3 pts $\vartriangle ABC$ and $\vartriangle BCD$ are isosceles triangles. Find the size of angle $BDE$.
$\measuredangle BDE =$
•  Question 11: 3 pts $\vartriangle ABC$ and $\vartriangle CDE$ are isosceles triangles. Find the size of angle $CED$.
$\measuredangle CED =$
•  Question 12: 3 pts $\vartriangle ABC$ is a triangle whose $AB=AC =20cm$ and angle $BAC=30$ degree. Which expression can be used to find the area of the triangle?
Area $=$