★ ∆ 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.
A. The Least common multiple between 6 and 8 is 24, so you have to buy 4 packages of pens and 3 packages of pencils.
2. Since you bought 24 pens and 24 pencils, you have 48 pens and pencils in all
Answer:
53
Step-by-step explanation:
6x3=18
8-3=5
6+1=7
7x5=35
35+18=53
I hope this helps!
The -2 has a multiplicity of 2
Since the order of (x+2) is squared, i.e. power is 2
Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units