Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Since this is a square and we have the diagonal, we can use the formula Square root of 2 times d/2 where the diagonal is d, we can find the side (sqrt 2 * d/2)
sqrt 2 * 26/2 = 18.38. Rounding our decimal we get 18.4, so the answer is d. Hope this helps
sqrt 2 * 26/2 = 18.38. Rounding our decimal we get 18.4, so the answer is d. Hope this helps
Given :-
- the shape is a Square
- AC = 26.
[tex] \\ \\ [/tex]
To find:-
- BC
[tex] \\ \\ [/tex]
Solution:-
Let AC = x.
[tex] \\ [/tex]
As given figureis square, therefore all sides are equal :-
- AB = x
- AD = x
- DC = x
[tex] \\ [/tex]
So now instead of square focus on triangle ABC.
where :-
[tex] \small \rm \angle B = 90 \degree[/tex]
[tex] \\ [/tex]
Equation formed:-
[tex] \\ \\ [/tex]
[tex] \rm \dashrightarrow AC {}^{2} = AB {}^{2} + BC {}^{2} [/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow 26 {}^{2} = x{}^{2} + x {}^{2} [/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow 26 {}^{2} =2x {}^{2} [/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow 26 \times 26 =2x {}^{2} [/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow2x {}^{2} = 26 \times 26 [/tex]
[tex] \\ \\ [/tex]
[tex] \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times 26 }{2}[/tex]
[tex] \\ \\ [/tex]
[tex] \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times \cancel{26 }}{\cancel{2}}[/tex]
[tex] \\ \\ [/tex]
[tex] \rm \dashrightarrow x {}^{2}=\dfrac{ 26 \times 13}{1}[/tex]
[tex] \\ \\ [/tex]
[tex] \rm \dashrightarrow x {}^{2}=26 \times 13[/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow x = \sqrt{26 \times 13} [/tex]
[tex] \\ [/tex]
[tex] \rm \dashrightarrow x = \sqrt{338} [/tex]
[tex] \\ [/tex]
[tex] \bf \dashrightarrow x = 18.38[/tex]
[tex]\\ \\ [/tex]
Formula used:-
[tex] \bigstar \boxed{\tt Hypotenuse^2 = Base^2+Perpendicular^2}[/tex]
[tex]\\ \\ [/tex]
Therefore BC is equal to 18.38 cm.
____________________
⭑Related Concept⭑
Property of square:-
- All sides of square are equal.
- All angles of square are equal.
- All angles of square are in 90°.
- The diagonals of a square bisect each other and meet at 90°.
- There are four sides and four angles in square.
- Opposite sides of a square are parallel to each other.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.