Maths-

General

Easy

Question

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

## The correct answer is: Hence proved

### Solution :-

Aim :- Prove that

Hint :- Applying pythagoras theorem to both triangles ABC,DEC,DBC and AEC. find the equation, add them and substitute proper conditions to prove the condition

Explanation(proof ) :-

Applying pythagoras theorem to triangle ABC , we get

Applying pythagoras theorem to triangle DEC , we get

— Eq2

Applying pythagoras theorem to triangle DBC , we get

Applying pythagoras theorem to triangle AEC , we get

Adding Eq 1 and 2,we get

Adding 3 and 4 we get ,

But substitute Eq6 in Eq5

We get

Hence proved

### Related Questions to study

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

Maths-

### Write the following in expanded fractional form :

d) 0.00016

### Write the following in expanded fractional form :

d) 0.00016

Maths-General