Question

1. which property of geometry will be used to find the distance AC?
2. What is the distance AC?
2. Which is the following does not form a Pythagoras triplet?
4. Find the length AB?

Please answer the questions as soon as possible
it is urgent
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Answer 1

Answer:

1.Pythagoras theory

2.50m

3.

4.AB=AC -BC=50-12=38m

using Pythagoras theory, we get AC^2=AD^2 + DC^2

then AC = 50m

Note :

lack of data in question 3

Answer 2

Given: The figure of a pond amidst a right-angled triangle

           AD = 30 m, BC = 12 m, CD = 40 m

To find: 1. Which property of geometry will be used to find the distance AC?

            2. What is the distance AC?

            3. Which is the following does not form a Pythagoras triplet?

            4. Find the length AB.

Solution:

1. Since the figure forms a right-angled triangle, we are gonna use the Pythagoras' Theorem to find the distance AC.

2. According to Pythagoras' Theorem,

AC² = AD² + CD²

⇒ AC² = (30)² + (40)²

⇒ AC² = 900 + 1600

⇒ AC² = 2500

⇒ AC = √2500

⇒ AC = 50 m

The distance AC is 50 m.

3. (Not enough information provided)

4. AB = AC - BC = (50 - 12) m = 38 m