Chapter 5: Q. 16 (page 200)

In $△ SUN$ $∠ S ≅ ∠ N$ ,. Given that $SU = 2 x + 7$ , $UN = 4 x - 1$ ,and $SN = 3 x + 4$ , find the numerical length of each side.

Short Answer

Expert verified

The numerical length of sides $S U$ , $U N$ and $S N$ are 15,15 and 16 respectively.

Step by step solution

- Draw the possible diagram of the given problem.

The possible diagram of the given problem is:

It is being given that $∠ S ≅ ∠ N$ .

The sides opposite to the equal angles are also equal.

As, $∠ S ≅ ∠ N$ , therefore the sides opposite to these angles are also equal.

That implies, $S U = U N$ .

- Find the value of x.

As, $S U = U N$ , therefore it can be obtained that:

$\begin{matrix} S U = U N \\ 2 x + 7 = 4 x - 1 \\ 7 + 1 = 4 x - 2 x \\ 8 = 2 x \\ \frac{8}{2} = x \\ 4 = x \end{matrix}$

Therefore, the value of x is 4.

- Find the numerical length of each sides.

Substitute 4 for x in the sides $S U$ , $U N$ and $S N$ .

Therefore, it can be obtained that:

$S U = 2 (4) + 7 = 8 + 7 = 15$

$U N = 4 (4) - 1 = 16 - 1 = 15$

$S N = 3 (4) + 4 = 12 + 4 = 16$

Therefore, the numerical length of the sides $S U$ , $U N$ and $S N$ are 15,15 and 16 respectively.

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In $△ SUN$ $∠ S ≅ ∠ N$ ,. Given that $SU = 2 x + 7$ , $UN = 4 x - 1$ ,and $SN = 3 x + 4$ , find the numerical length of each side.

Short Answer

Step by step solution

- Draw the possible diagram of the given problem.

- Find the value of x.

- Find the numerical length of each sides.

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Most popular questions from this chapter

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In△SUN ∠S≅∠N,. Given thatSU=2x+7 ,UN=4x-1 ,andSN=3x+4 , find the numerical length of each side.

Short Answer

Step by step solution

- Draw the possible diagram of the given problem.

- Find the value of x.

- Find the numerical length of each sides.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In $△ SUN$ $∠ S ≅ ∠ N$ ,. Given that $SU = 2 x + 7$ , $UN = 4 x - 1$ ,and $SN = 3 x + 4$ , find the numerical length of each side.