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:

An isosceles right triangle has area 8 cm2. The length of its hypotenuse is. Hence the length of its hypotenuse is √32cm.

Step-by-step explanation:

Answer 2

• Both the perpendicular and base are equal in length.

So,

• Area of triangle $\sf\frac{1}{2} xbxh$

• Let b =h = y

$\sf→\frac{1}{2}x y = 8 y = 16$

→ y=4

So

• Perpendicular = Base = 4 cm

• Now by Pythagoras theorem,

$\sf→ h^{2}=4^{2} + 4^{2}$

$\sf→ h^2=16 + 16$

$\sf→ h^2= 32$

$\sf→ h =\sqrt{32}$

$\sf→ h = 4\sqrt{2}$

Hence,

• hypotenuse = 4√2 cm