Answer:
g = 
Step-by-step explanation:
The segment DE joining the midpoints of 2 sides of the triangle is parallel to the third side and half the length of the third side, thus
g = 
Answer:
A. -4
B. -3.5
C. 6.5
D. -2
Step-by-step explanation:
The “less” indicates it is negative.
The “more” indicates it is positive.
In this question , the triangle is equilateral triangle , with radius equals to 8 cm and we have to find the length of apotherm, a .
Using sine ratio rule,

For triangle ODC, opposite is a cm and hypotenuse is of length 8 cm .
So we will get

Multiplying both sides by 8

So the length of the apothem is 4 cm .
Answer:
41 -12√5
Step-by-step explanation:
- All square roots of natural numbers, other than of perfect squares, are irrational.
so, let the unknown irrational number be x,
solve:
√x + √5 = 6
√x = 6 - √5
( √x ) ² = ( 6 - √5 )²
x = ( 6 - √5 )( 6 - √5 )
x = 36 -6√5 -6√5 + 5
x = 41 -12√5
Given:
• Upper Base of trapezoid = 8 cm
,
• Lower base = 20 cm
,
• Length of one leg (also height) = 5 cm
,
• Length of other leg = 13 cm
Let's find the area of the trapezoid.
To find the area of the trapezoid, apply the formula:

Where:
A is the area
a is the length of upper base = 8 cm
b is the length of the lower base = 20 cm
h is the height = 5 cm
Plug in the values for a, b, and h to find the area, A:

Therefore, the area of the trapezoid is 70 cm^2