Write an expression for the area of the figure shown above

Question

06-02-2022
Mathematics

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Write an expression for the area of the figure shown above

Sagot :

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Hrishii Hrishii · Answer 1 · 2022-02-06T11:20:53-05:00

Answer:

[tex]\red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}[/tex]

Step-by-step explanation:

Given is an isosceles right triangle.

Therefore, by Pythagoras theorem:

[tex] {(5x + 18)}^{2} = {( - 3x)}^{2} + {( - 3x)}^{2} \\ \\ \implies \: {(5x)}^{2} + 2(5x)(18) + {(18)}^{2} = 9 {x}^{2} + 9 {x}^{2} \\ \\ \implies \: 25 {x}^{2} + 180x + 324 = 18 {x}^{2} \\ \\ \implies \: 25 {x}^{2} - 18 {x}^{2} + 180x + 324 = 0 \\ \\ \implies \: \ \red{ \bold{ 7 {x}^{2} + 180x + 324 = 0}}\\ \\ [/tex]

Sagot :

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