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Area of an Equilateral Triangle

33. If the ar...

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33. If the area and perimeter of a right angled triangle are numerically equal than what will be the possible area possible hint is that there are more than one area possible

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Q. Assertion :Let

a

b

be length of the legs of a right triangle with following properties
(a) All three sides of the triangle are integer.
(b) The perimeter of triangle is numerically equal to the area of the triangle, it is given that

a < b

The number of ordered pairs

(a, b)

2

Reason: Maximum possible perimeter of the triangle is

30

△ P A B

is right angle at

P

A (2, 3)

B (5, 7)

, then which of the following is/are correct?

Δ A B C

8 {c m}^{2}

A

90^{\circ}

. What are the possible sides of the triangle?

Q. Find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long.

Q. The sides of a right triangle are in an AP. The area and the perimeter of the triangle are numerically equal. Find its perimeter.

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