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Kamila [148]
3 years ago
9

________________________________

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

The Red block is the answer

Step-by-step explanation:

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∆ ABC is similar to ∆DEF and their areas are respectively 64cm² and 121cm². If EF = 15.4cm then find BC.​
lyudmila [28]

{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

★ ∆ ABC is similar to ∆DEF

★ Area of triangle ABC = 64cm²

★ Area of triangle DEF = 121cm²

★ Side EF = 15.4 cm

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

★ Side BC

{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}

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. ]

\therefore \tt \boxed{  \tt \dfrac{area( \triangle \: ABC )}{area( \triangle \: DEF)} =  { \bigg(\frac{BC}{EF} \bigg)}^{2}   }

❍ <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

\implies  \tt  \dfrac{64   \: {cm}^{2} }{12 \:  {cm}^{2} }  =  { \bigg( \dfrac{BC}{15.4 \: cm} \bigg) }^{2}

❍ <u>By solving we get,</u>

\implies  \tt    \sqrt{\dfrac{{64 \: cm}^{2} }{ 121 \: {cm}^{2} }}   =   \bigg( \dfrac{BC}{15.4 \: cm} \bigg)

\implies  \tt    \sqrt{\dfrac{{(8 \: cm)}^{2} }{  {(11 \: cm)}^{2} }}   =   \bigg( \dfrac{BC}{15.4 \: cm} \bigg)

\implies  \tt    \dfrac{8 \: cm}{11 \: cm}    =   \dfrac{BC}{15.4 \: cm}

\implies  \tt    \dfrac{8  \: cm \times 15.4 \: cm}{11 \: cm}    =   BC

\implies  \tt    \dfrac{123.2 }{11 } cm   =   BC

\implies  \tt   \purple{  11.2 \:  cm}   =   BC

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

{\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}

★ Figure in attachment.

\rule{280pt}{2pt}

4 0
2 years ago
Solve the following equation for a. be sure to take into account whether a letter is capitalized or not g = Ha + na
dimulka [17.4K]

Answer:

a = \frac{g}{H+n}

Step-by-step explanation:

Step 1: Factor

g = a(H + n)

Step 2: Divide both sides by expression in parenthesis

g/(H + n) = a

7 0
3 years ago
What is the percent of each? Please help!!
il63 [147K]

Answer:

1 Cards = 36%

2 Cards = 28%  

3 Cards = 24%

4 Cards = 12.5%

Step-by-step explanation:

7 0
3 years ago
What is the answer to y=3x-1/5
Aliun [14]
Standard form: -3x +5y= -1
7 0
3 years ago
Mr.James has a cylindrical beakers that measure 4 inches in diameter and are 9 inches high .What is the volume contained within
Ksju [112]

Cylinder Volume = PI * radius^2 * height


Cylinder Volume = 3.14 * 2^2 * 9


Cylinder Volume = 113.04 cubic inches


1728.com/diamform.htm



8 0
3 years ago
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