Question

1.Which of the following angle can be constructed with the help of a ruler and a pair of compasses? *
a)35°
b) 40°
c) 37.5°
d) 47.5°

2.Which of the following can be the length of BC required to construct the triangle ABC such that AC = 7.4 cm and AB = 5 cm? *
a)3.5cm
b)2.1cm
c)4.7cm
d) none of these
Ans me please and I'll mark you as brainliest.​

Answer 1

Answer:

1. c) 37.5

2. a)3.5 and c)4.7

Step-by-step explanation:

1.

• construct an angle of 60°
• devide it into 30°each by drawing a angle bisector
• now u have 2 angles of 30°
• devide the upper 30° angle
• now u hav 3 angles of 15°
• now decide the lower 15° angle
• u will have 2 angles of 7.5°
• thus when u join the lower 30° angle and the 7.5° angle above it u will hav a 37.5 angle.

2.

The sum of length of two sides of a triangle is always greater than the third side.

thus,

1. 3.5 + 5 = 8.5

thus 8.5 is greater than 7.4 so it can be the length of BC

2. 2.1 + 5 = 7.1

thus 7.1 is lesser than 7.4 so it can be the length of BC

3. 4.7 + 5 = 9.7

thus 9.7 is greater than 7.4 so it can be the length of BC

please mark as brainliest as u promissed

Answer 2

Answer:

1. The correct option is (a) 37.5.
2. The correct option is (a) 3.5 cm and (C) 4.7cm.

Step-by-step explanation:

(1)

• We can draw 37.5° with the help of a ruler and a pair of compasses with the use of some stages.

• Method 1: First draw 60° and then divide it double to create 15°. Now, draw five 15° angles sequentially to acquire (5 × 15°) = 75°. Then divide it into two parts: (75° ÷ 2) = 37.5°.

• Method 2: First draw 180° (entirely take 60° thrice). Then divide the final 60° into two identical parts. You will obtain 150°. Now divide those angles double to construct (150° ÷ 4) = 37.5°.

(2)

• The sum of the length of two sides of a triangle exists constantly greater than the third side.

Therefore,

1. 3.5 + 5 = 8.5

Hence 8.5 exists greater than 7.4 so it can stand the length of BC.

2. 2.1 + 5 = 7.1

Hence 7.1 is lower than 7.4 so it cannot be the length of BC.

3. 4.7 + 5 = 9.7

Accordingly, 9.7 exists greater than 7.4 so it can be the length of BC.

So the correct option is (a ) and (c).

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