Maths-

General

Easy

Question

## The correct answer is: Hence proved

### Solution :-

Aim :- Prove that

Hint :- Applying pythagoras theorem to both triangles ABD and ADC. find the AD^{2} from both equations .Equate both the equations to get the required condition

Explanation(proof ) :-

Applying pythagoras theorem in ΔACD ,We get

Applying pythagoras theorem in ΔABD ,We get

Substitute Eq2 in Eq1 ,

### Related Questions to study

Maths-

### Find the value of x y and z from the given figure.

### Find the value of x y and z from the given figure.

Maths-General

Maths-

### Prove that ∠YXZ ≅ ∠UWZ

### Prove that ∠YXZ ≅ ∠UWZ

Maths-General

Maths-

### Find x: if [9/5]^{−5 }× [9/5]^{12} = [9/5]^{3x−2}

### Find x: if [9/5]^{−5 }× [9/5]^{12} = [9/5]^{3x−2}

Maths-General

Maths-

### Find in the below figure.

### Find in the below figure.

Maths-General

Maths-

### Use the given information to prove that the given triangles are congruent.

### Use the given information to prove that the given triangles are congruent.

Maths-General

Maths-

### Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.

### Prove that the sum of the squares of the diagonals of a parallelogram is equal to sum of the squares of its sides.

Maths-General

Maths-

### Find the value of m for which 5^{m} / 5^{-3} = 5^{5}.

### Find the value of m for which 5^{m} / 5^{-3} = 5^{5}.

Maths-General

Maths-

### In the figure, the sides AB and AC of are produced to P and Q respectively. The bisectors of and intersect at O. Prove that .

### In the figure, the sides AB and AC of are produced to P and Q respectively. The bisectors of and intersect at O. Prove that .

Maths-General

Maths-

### What additional information will ensure the congruence of the triangles ABC and PQR?

### What additional information will ensure the congruence of the triangles ABC and PQR?

Maths-General

Maths-

### Evaluate-

i. {(1/3)^{-1} - (1/4)^{-1})}^{-1}

ii. (5/8)^{-7} × (8/5)^{-4}

### Evaluate-

i. {(1/3)^{-1} - (1/4)^{-1})}^{-1}

ii. (5/8)^{-7} × (8/5)^{-4}

Maths-General

Maths-

### Are the bread slices used for preparing the sandwich congruent? Explain why or why not?

### Are the bread slices used for preparing the sandwich congruent? Explain why or why not?

Maths-General

Maths-

### Anu notices that has a prime factor of 3 in the denominator, so he thinks the fraction will converto a recurring decimal. However when she enters the calculator , she finds that = 0.6Can you explain anu’s mistake ?

### Anu notices that has a prime factor of 3 in the denominator, so he thinks the fraction will converto a recurring decimal. However when she enters the calculator , she finds that = 0.6Can you explain anu’s mistake ?

Maths-General

Maths-

### Simplify: [2/3]^{3} × [2/3]^{−2} [[1/2]^{−2}]^{2} × 1/24

### Simplify: [2/3]^{3} × [2/3]^{−2} [[1/2]^{−2}]^{2} × 1/24

Maths-General

Maths-

### Prove that AB ≅ DC

### Prove that AB ≅ DC

Maths-General

Maths-

### Convert the following fraction to decimal

d) 13/55

### Convert the following fraction to decimal

d) 13/55

Maths-General