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 $=$

Triangle