Answer:
units is the longer leg
Step-by-step explanation:
Definition: 30 -60 -90
In 30-60-90 triangle,
the length of the hypotenuse is twice the length of the shorter leg; and
the length of the longer leg is times the length of the shorter leg.
As per the statement:
The length of the hypotenuse of 30 -60 -90 triangle is 4
Length of hypotenuse = 4 units
then, by definition we have;
length of shorter leg = 2 units
then;
the length of the longer leg is times the length of the shorter leg.
⇒Length of longer leg = units
Therefore, the length of longer leg is, units
Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w
( From equation (1) ),
= 882 in²