Answer: The area common to both triangle is 31.77 sq. cm.
Step-by-step explanation:
Since we have given that
30-60-90 triangles are placed.
So, the ratio of sides would be
Since Hypotenuse = 12 cm
So, it becomes,
So, Base would be
and Perpendicular would be
So, Area common to the both triangles would be
Hence, the area common to both triangle is 31.77 sq. cm.
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d =
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d =
=
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3