Question

An isosceles right triangle has area 8cm square .The length of the hypotenuse is by herons formula
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Answer 1

Answer

5.656 cm

Step-by-step explanation:

Two sides of a isosceles right triangle are same,  

Let x be the length of the two sides of a triangle,

Area of triangle = basexheight/2

Equation is  

(x)(x)/2=8

X2=16

X=4

Length of two sides of triangle is 4 cm

Now the length of hypotenuse can be calculated using Pythagoras theorem,

i.e. square root of  sum of squares of  base and height =length of hypotenuse

=square root of   (x2+x2)

=square root of (42+42)

=square root of 32

=5.656 cm

Answer 2

Answer:

Step-by-step explanation:

Two sides of a isosceles right triangle are same,

Let x be the length of the two sides of a triangle,

Area of triangle = basexheight/2

Equation is

(x)(x)/2=8

X2=16

X=4

Length of two sides of triangle is 4 cm

Now the length of hypotenuse can

becalculated using Pythagoras theorem

. square root of sum of squares of base and height =length of hypotenuse

square root of (x2+x2)

=square root of (42+42)

=square root of 32

=5.656 cm