Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Given that <span>the number of possible handshakes within a group of n people is given by the equation:
</span>

<span>
Given that there are 105 people at a party, the number of possible handshakes is given by:
</span>

<span>
</span>
Answer:

Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u>. states that the length of the mid-segment is equal to the sum of the base lengths divided by two.
so

we have

substitute the given values
