angle 4 is the same as angle 8
angle 7 & angle 8 has to equal 180 degree
so angle 7 and angle 4 also have to equal 180
angle 4 is 3 times the size of 7
lets call 7 (x)
so 4(x) = 180
180/4 =45
x=45
angle 7 is 45 degrees
X = ± √<span>6 </span><span>= ± 2.4495 because i know it</span>
Answer:
Area of rhombus = 96 inch²
Step-by-step explanation:
Given:
Side length of rhombus = 10 inch
Length of longer diagonal = 16 inch
Find:
Area of rhombus
Computation:
We know that, diagonals of rhombus perpendicular bisect each other
So,
Half of small diagonal = √Side length of rhombus² - Half length of longer diagonal²
Half of small diagonal = √10² - 8²
Half of small diagonal = √100 - 64
Half of small diagonal = √36
Half of small diagonal = 6 inch
Length of smaller diagonal = 2 x 6
Length of smaller diagonal = 12 inch
Area of rhombus = (Product of diagonals)/2
Area of rhombus = (16 x 12)/2
Area of rhombus = 96 inch²
