Chapter 5: Q. 5 (page 180)

5. Given: L, M, and N are midpoints of $Δ TKO$ . Find the perimeter of each figure.
a. $Δ TKO$
b. $Δ LMK$
c. $▱ TNML$
d. quad. $LNOK$

Short Answer

Expert verified

a. Perimeter of $Δ TKO$ is $40$ .

b. Perimeter of $Δ LMK$ is $20$ .

c. Perimeter of $▱ TNML$ is $26$

d. Perimeter of quad. $LNOK$ is $34$ .

Step by step solution

a. Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of $Δ T K O$ .

- Show the calculation.

Perimeter of $Δ T K O$ is:

$\begin{matrix} Perimeter = T O + O K + K T \\ = (5 + 5) + (7 + 7) + (8 + 8) \\ = 40 \end{matrix}$

- State the conclusion.

Therefore, perimeter of $Δ T K O$ is 40.

b.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of $Δ T K O$ .

- Show the calculation.

Perimeter of $Δ L M K$ is:

$\begin{matrix} Perimeter = L M + M K + K L \\ = 5 + 7 + 8 \\ = 20 \end{matrix}$

- State the conclusion.

Therefore, perimeter of $Δ L M K$ is 20.

c.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of $Δ T K O$ .

- Show the calculation.

Perimeter of the parallelogram $T N M L$ is:

$\begin{matrix} Perimeter = T N + N M + M L + L T \\ = 5 + 8 + 5 + 8 \\ = 26 \end{matrix}$

- State the conclusion.

Therefore, perimeter of the parallelogram $T N M L$ is 26.

d.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of $Δ T K O$ .

- Show the calculation.

Perimeter of quadrilateral $L N O K$ is:

$\begin{matrix} Perimeter = L N + N O + O K + K L \\ = 7 + 5 + 14 + 8 \\ = 34 \end{matrix}$

- State the conclusion.

Therefore, perimeter of quadrilateral $L N O K$ is 34.

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5. Given: L, M, and N are midpoints of $Δ TKO$ . Find the perimeter of each figure.
a. $Δ TKO$
b. $Δ LMK$
c. $▱ TNML$
d. quad. $LNOK$

Short Answer

Step by step solution

a. Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

b.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

c.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

d.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

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5. Given: L, M, and N are midpoints ofΔTKO. Find the perimeter of each figure.a. ΔTKOb.ΔLMKc. ▱TNMLd. quad. LNOK

Short Answer

Step by step solution

a. Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

b.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

c.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

d.Step 1 - Consider the diagram.

- Show the calculation.

- State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Mechanics Maths

Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

5. Given: L, M, and N are midpoints of $Δ TKO$ . Find the perimeter of each figure.
a. $Δ TKO$
b. $Δ LMK$
c. $▱ TNML$
d. quad. $LNOK$