Question

What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labeled 40 c m below the midsegment and 5 c m above the midsegment. the right side is labeled 2 x + 10 c m below the midsegment and 3 c m above the midsegment.

Answer 1

Answer: 7

Step-by-step explanation:

Answer 2

Answer: The value of x is 7 cm.

Step-by-step explanation:

Let ABC is a triangle with mid -segment  DE parallel to the base BC.

the left side is labeled 40 cm below the mid -segment

i.e. BD = 40 cm

the left side is labeled 5 cm above the mid -segment

i.e. AD = 5 cm

Similarly,

The right side is labeled 2 x + 10 cm below the mid -segment

i.e. EC = 2x+10

The right side is labeled 3 cm above the mid -segment

i.e. AE = 3 cm

So, By Basic proportionality theorem,

The ratio of the other two sides is equal.

$\frac{AD}{DB}=\frac{AE}{EC}\\\\\frac{5}{40}=\frac{3}{2x+10}\\\\\frac{1}{8}=\frac{3}{2x+10}\\\\2x+10=24\\\\2x=24-10\\\\2x=14\\\\x=\frac{14}{2}\\\\x=7 cm$

Hence, the value of x is 7 cm.