Answer:
<em>d</em> = or 8.60
Step-by-step explanation:
(5, 8) (-2, 3)
Let 5 =
8 =
-2 =
3 =
Plug in the values into the equation to get the distance:
<em>d = </em><em />
<em>d </em>=
<em>d = </em>
<em>d</em> =
<em>d = </em> or 8.60
Answer:
height = 2.5 ft , base = 8 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = bh ( b is the base and h the height )
height = h then base = 2h + 3 and A = 10 , then
h(h + 3) = 10 ( multiply both sides by 2 to clear the fraction )
h(h + 3) = 20 , that is
h² + 3h = 20 ( subtract 20 from both sides )
h² + 3h - 20 = 0 ← in standard form
(h + 4)(2h - 5) = 0 ← in factored form
equate each factor to zero and solve for h
h + 4 = 0 ⇒ h = - 4
2h - 5 = 0 ⇒ 2h = 5 ⇒ h = 2.5
but h > 0 , then h = 2.5
and 2h + 3 = 2(2.5) + 3 = 5 + 3 = 8
that is height = 2.5 ft and base = 8 ft
use Pythagoras
D=
Diagonal =109 cm
