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Chapter 5: Q. 5 (page 180)

5. Given: L, M, and N are midpoints of螖TKO. Find the perimeter of each figure.

a. 螖TKO

b.螖LMK

c. 鈻�TNML

d. quad. LNOK

Short Answer

Expert verified

a. Perimeter of 螖TKO is 40.

b. Perimeter of 螖LMK is 20.

c. Perimeter of 鈻�TNMLis26

d. Perimeter of quad.LNOKis34.

Step by step solution

01

a. Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of 螖TKO.

02

- Show the calculation.

Perimeter of 螖TKO is:

Perimeter=TO+OK+KT=5+5+7+7+8+8=40

03

- State the conclusion.

Therefore, perimeter of 螖TKO is 40.

04

b.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of 螖TKO.

05

- Show the calculation.

Perimeter of 螖LMKis:

Perimeter=LM+MK+KL=5+7+8=20

06

- State the conclusion.

Therefore, perimeter of 螖LMK is 20.

07

c.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of 螖TKO.

08

- Show the calculation.

Perimeter of the parallelogram TNML is:

Perimeter=TN+NM+ML+LT=5+8+5+8=26

09

- State the conclusion.

Therefore, perimeter of the parallelogram TNML is 26.

10

d.Step 1 - Consider the diagram.

Here, L,M and N are the midpoints of sides of 螖TKO.

11

- Show the calculation.

Perimeter of quadrilateral LNOK is:

Perimeter=LN+NO+OK+KL=7+5+14+8=34

12

- State the conclusion.

Therefore, perimeter of quadrilateral LNOK is 34.

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Most popular questions from this chapter

Given: PlaneX鈭�PlaneY;LM炉鈮�ON炉

Prove: LMNO is a parallelogram.

M, N and T are the midpoints of the sides of 螖XYZ.

State the theorem suggested by Exercise 6.

PQRS is a parallelogram. Find the values of a, b, x and y.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.
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