Answer:
Explanation:
Area of an isosceles triangle, using base and height: Area = ½ × b × h ·
192 sq. cm = ½ x 24 cm x h
192 sq. cm = 12 cm x h
h= 192 sq cm/ 12 cm
h= 16 cm
Remember the rule "The height drawn from the apex of an isosceles triangle divides the base into two equal parts and also divides the apex angle into two equal angles." These triangles are now , two congruent right-angled triangles.
If you imagine the right triangle, we know the sides and we need to find hypotenuse ( one side of the triangle).
So sides are 16, 12 (half of the base) and we are looking for hypotenuse using a^2 + b^2 = c^ 2.
16 ^2 + 12^2 = hypotenuse ^ 2
256 + 144 = hypotenuse ^ 2
400 = hypotenuse ^ 2
where hypotenuse is 20.