Question

1.Short answer type questations.

1. Write the algebraic expressions 4a2+ 4+ 1by a2 in the form of perfect square.
2. write the relation between the lengths of three sides of a right angle triangle. if the lengths of hypotenuse and base of a right angled triangle are 5cm. respectively then find the length of the preprendicular of the triangle.

any one plz answer who will answer ​

Answer 1

Answer:

We have,

Area of a right angle is A.

One side of right angle is b.

Then,

Area of triangle

A=

2

1

×b×h

h=

b

2A

Using Pythagoras theorem,

(Hypotenous)

2

=(Base)

2

+(Height)

2

AC=

b

2

+

b

2

4h

2

AC=

b

2

b

4

+4h

2

AC=

b

1

b

4

+4h

2

Then,

Area of right angle containing Pythagoras theorem.

A=

2

1

×

b

1

b

4

+4a

2

×h

2Ab=

b

4

+4a

2

×h

h=

b

4

+4a

2

2Ab

Answer 2

The sides of right angled triangle are 6,8cm

The hypotenuse is given as 

a2+b2=c262+82=c236+64=c2c2=100c=100c=10cm