Question

Please help me solve this !!!!

Answer 1

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The triangle is Equilateral thus the sides are same and equal.

So ;

$5x = 3x + 10$

$5x = 6x - 5$

$3x + 10 = 6x - 5$

We just need to solve one the above equations and the value of x .

Then put in all three equations to find the sides .

Let's do it....

$5x = 3x + 10$

Subtract sides 3x

$- 3x + 5x = - 3x + 3x + 10$

Simplification

$2x = 10$

Divide sides by 2

$\frac{2}{2} x = \frac{10}{2}$

Simplification

$x = 5$

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It's time to find the sides :

$RS = 6(5) - 5$

$RS = 30 - 5$

$RS = 25$

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$SQ = 3(5) + 10$

$SQ = 15 + 10$

$SQ = 25$

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$RQ = 5(5)$

$RQ = 25$

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Actually we knew that the sides of any Equilateral triangle are same.

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Answer 2

Answer:

$\boxed{option \: c. \: is \: correct}$

Step-by-step explanation:

$well.....the \: sides \: of \: this \: type \: of \: triangle \to \\ (equallatral )\: are \: all \: equall \to \\ \boxed{ \: hence \: option \: c. \: is \: correct}$