Maths-

General

Easy

Question

Hint:

**Hint :-** Using pythagoras theorem in triangle AEC and AED we find AC2 and AD2 and do equation to get the required result.

## The correct answer is: Hence proved

### Aim :- Prove that

Explanation(proof ) :-

In triangles ABE and ACE ,

∠AEB = ∠AED = 90^{0} (Right angle)

AB = AC (given) (Hypotenuse)

AE = AE (common side)

By RHS , ΔAEB ≅ ΔAEC

By congruence , BE = EC

Applying pythagoras theorem in triangle AEC we get,

— Eq1

Applying pythagoras theorem in triangle AED we get,

— Eq2

Doing Eq2-Eq1 we get ,

Substitute ED-EC = CD

Hence proved

Hence proved

### Related Questions to study

Maths-

### D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C . Prove that

### D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C . Prove that

Maths-General

Maths-

### A square technology chip has an area of 25 square centimetres. How long is each side of the chip ?

### A square technology chip has an area of 25 square centimetres. How long is each side of the chip ?

Maths-General

Maths-

### In the given figure,: 3. Find .

### In the given figure,: 3. Find .

Maths-General

Maths-

Maths-General

Maths-

### Would you classify the number 169 as a perfect square , a perfect cube , both or neither ?

### Would you classify the number 169 as a perfect square , a perfect cube , both or neither ?

Maths-General

Maths-

### A farmer has a square plot of land, where he wants to grow five different crops at a time. One-half of the area in the middle, he wants to grow wheat but in rest of the four equal triangular parts, he wants to grow different crops. p and q are the mid-points of sides CA and CB respectively of a triangular part ABC right-angled at c . Prove that .

### A farmer has a square plot of land, where he wants to grow five different crops at a time. One-half of the area in the middle, he wants to grow wheat but in rest of the four equal triangular parts, he wants to grow different crops. p and q are the mid-points of sides CA and CB respectively of a triangular part ABC right-angled at c . Prove that .

Maths-General

Maths-

### A trophy store wishes to make brass medallions, each of mass 17.5 g, from 140 kg of brass. How many medallions can be made?

### A trophy store wishes to make brass medallions, each of mass 17.5 g, from 140 kg of brass. How many medallions can be made?

Maths-General

Maths-

Maths-General

Maths-

### A large mixer at a bakery holds 0.75 tonnes of dough. How many bread rolls, each of mass 150 g,can be made from the dough in the mixer

### A large mixer at a bakery holds 0.75 tonnes of dough. How many bread rolls, each of mass 150 g,can be made from the dough in the mixer

Maths-General

Maths-

### What is the special case when SSA condition works to

prove the triangle congruence? What do the sides and the angle represent

that case?

### What is the special case when SSA condition works to

prove the triangle congruence? What do the sides and the angle represent

that case?

Maths-General

Maths-

### If two sides and the included angle of one triangle are

congruent to two sides and the included angle of a second triangle, then the

two triangles are congruent by

### If two sides and the included angle of one triangle are

congruent to two sides and the included angle of a second triangle, then the

two triangles are congruent by

Maths-General

Maths-

### In and . Hence find the measure of each angle

### In and . Hence find the measure of each angle

Maths-General

Maths-

### Benjamin fills his car with 50 litres of petrol. How much does it cost him if petrol is selling at 94.6pence per litre?

### Benjamin fills his car with 50 litres of petrol. How much does it cost him if petrol is selling at 94.6pence per litre?

Maths-General

Maths-

### Prove that △ CAB ≅△ CAD

### Prove that △ CAB ≅△ CAD

Maths-General

Maths-

Maths-General