00680-MWALA_LEARN-PYTHAGORAS-SOLVING-FOREVER-2

Objectives: 00680-MWALA_LEARN-PYTHAGORAS-THEOREM-SOLVING-FOREVER-2

Right-Angled Triangle Questions

Answer the following questions:

1. Find the unknown length in each of the following right–angled triangles:

(a)

6 cm a 9 cm

(b)

7 cm h 9 cm

(c)

a 3 cm 5 cm

(d)

5 21 h

(e)

a 9 cm 12 cm

(f)

8 cm b 15 cm
2. Find the unknown length in the following right–angled triangles:

(a)

4.7 cm h 6.5 cm

(b)

b 3.6 cm 5.4 cm
Pythagoras Questions

Answer the following questions:

1. Find the unknown length in each of the following right–angled triangles:

(a)

6 cm a 9 cm

(b)

7 cm h 9 cm

(c)

a 3 cm 5 cm

(d)

5 21 h

(e)

a 9 cm 12 cm

(f)

8 cm b 15 cm
2. Find the unknown length in the following right–angled triangles:

(a)

4.7 cm h 6.5 cm

(b)

b 3.6 cm 5.4 cm
3. A rectangle has the dimensions 15 cm by 11 cm. What is the length of its diagonal?
15 cm 11 cm
4. The following figure is an isosceles triangle of height 8 cm and base 6 cm. What is the length of each side?
8 cm 6 cm
5. Find the length of the diagonal of a square whose sides are 18 cm.
18 cm
6. The diagonal of a square is 25 cm long. What is the length of its sides?
25 cm
7. Calculate the length of the sides marked with letters in the following figures:

(a)

4 cm 10 cm 8 cm 16 cm

(b)

6 cm a 3 cm 9 cm
8. A ladder 10 m long leans against a wall. The foot of the ladder is 6 m from the base of the wall. How high does the top of the ladder reach?
6 m h 10 m
9. A rope of length 39 m is tied to the top of a flag pole. The other end of the rope is fixed at a point 36 m from the base of the flagpole. How high is the flag pole?
36 m h 39 m

Reference Book: N/A

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