Answer:
x = 7
Step-by-step explanation:
Given the base of the triangle is 6 and the line dividing the triangle is x. To get x divide the triangle into two equal halves. When you do so,you’ll have a right triangle with x as the opposite , 8 as the hypotenuse and the adjacent as 3.
Using Pythagoras theorem, we have
8^2 = x^2 + 3^2
8 x 8 = x^2 + 3 x 3
64 = x^2 + 9
Subtract 9 from both sides
64 - 9 = x^2 + 9 - 9
55 = x^2
X^2 = 55
x = squared root of 55
x = 7.4
x = 7
The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.
<h3>What is a parallelogram?</h3>
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Now, suppose a and be are two sides of parallelogram
Then, Perimeter P = 2( a+ b)
Now, it is given that perimeter of a parallelogram is 180 cm.
⇒ 2( a+ b) = 180
⇒ a + b = 90
It is also given that one side exceeds the other by 10 cm.
⇒ a = b + 10
Putting the value of a in above equation we get,
b + 10 + b = 90
⇒ 2b = 90 - 10
⇒ 2b = 80
⇒ b = 40 cm
Similarly, a = b + 10
⇒ a = 40 + 10
⇒ a = 50 cm
Hence, the required sides of parallelogram are 40cm and 50cm.
More about parallelogram:
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49 increased by d is 49 + d but I feel that this isn't the whole statement...?
X= 48
this is found by simplifying both sides of the equation , then isolating the variable<span />
