
★ ∆ ABC is similar to ∆DEF
★ Area of triangle ABC = 64cm²
★ Area of triangle DEF = 121cm²
★ Side EF = 15.4 cm

★ Side BC

Since, ∆ ABC is similar to ∆DEF
[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

❍ <u>Putting the</u><u> values</u>, [Given by the question]
• Area of triangle ABC = 64cm²
• Area of triangle DEF = 121cm²
• Side EF = 15.4 cm

❍ <u>By solving we get,</u>






<u>Hence, BC = 11.2 cm.</u>

★ Figure in attachment.

Answer:
70 miles
Step-by-step explanation:
30 minn+30 min=1 hour/60 min
30 min=35 miles
add the minutes together then add the miles together witch will give you
1 hour/60 min=70 miles
The answer should be AC+BC
We can answer this by applying the rule called "Greater angle, greater side". This is where in any triangle, the opposite side of the larger angle is also longer.
So in this question, first we have to find the largest 2 angles, which is ∠ABC and ∠BAC with measures of 120° and 35° respectively. Therefore, from the diagram, the opposite sides of the angles are AC and BC.
Therefore, the answer should be AC+BC.
Answer:
There are 6 classes we find the median by finding the middle number of the 3rd highest class and 4th highest class, even if this is a decimal.
6/3 = 3+ 0.5
The process would be different if some values are the same values already on the chart total of each class.
ie) 20 31 14 22 20 31
small data like this below you can rearrange
14 20 20 22 31 31
and see that 21 is the correct value
as there are even numbers, so we choose 20 , 22
and select the middle value = 21
Step-by-step explanation:
If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.
<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>