Question

the isosceles right angled triangle area is equal to 8 then hypotenuse is​

Answer 1

hypotenuse=5.65..............

Answer 2

Answer:

Hence, the length of its hypotenuse is √32 cm.

Step-by-step explanation:

Let height of triangle = h

As the triangle is isosceles,

Let base = height = h

According to the question,

Area of triangle = 8cm2

⇒ ½ × Base × Height = 8

⇒ ½ × h × h = 8 ⇒ h2 = 16

⇒ h = 4cm Base = Height = 4cm

Since the triangle is right angled,

Hypotenuse2 = Base2 + Height2

⇒ Hypotenuse2 = 42 + 42

⇒ Hypotenuse2 = 32

⇒ Hypotenuse = √32

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