Math, asked by flamer16, 1 month ago

An isosceles right-angled triangle has area 8 cm2. The length of its hypotenuse is​

Answers

Answered by kalpanasanthoshsanka
1

Answer:

16

Step-by-step explanation:

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Answered by mandalsamir05
4

Answer:

Area of a triangle =

 \frac{1}{2}  \times base \times height

Step-by-step explanation:

In case of a isosceles right angled triangle , the height and base are always the equal sides .

Let the length of the equal sides be "a" cm .

By Pythagoras Theorem ,

Hypotenuse =

 \sqrt{ {a}^{2}  +  {a}^{2} }

 = a \sqrt{2}

Area = 8 = 1/2*a*a

=> a²=16 => a=4

So , hypotenuse = 4√2 cm [ Ans ]

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