The girls and boys' basketball teams sponsored a car wash that made $109. There were twice as many girls as
1 answer:
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Answer:
a) AC =
b) Area = ×
Step-by-step explanation:
a) From question,
AC = BC, CD⊥AB
Now in ΔCAD and ΔCBD
AC=BC, ∠A = ∠B and AD=BD (because in isosceles triangle perpendicular bisects the side).
then, from SAS potulates
ΔCAD≅ΔCBD
So,
AD = =
= 2 in
From Pythagorean theorem in ΔADC
=
+
=
+
= 4 + 9 = 13
AC =
b) In given ΔABC,
AB = BC = AC = a, means ΔABC is a equilateral triangle.
So, area of equilateral triangle is
Area = ×
side = a
then,
Area = ×
