an isosceles triangle has area 8cm^2,then find the length of its hypotenuse explanation needed
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Answer:
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is. Hence the length of its hypotenuse is √32cm.
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ANSWER: √32
Step-by-step explanation:
Given, area of an isosceles right triangle = 8 cm^2
Area of an isosceles triangle = 1/2 (Base x Height)
⇒ 8 = 1/2 (Base x Base)
[∴ base = height, as triangle is an isosceles triangle]
⇒ (Base)2 =16 ⇒ Base= 4 cm
In ΔABC, using Pythagoras theorem
AC^2 = AB^2 + BC^2 = 42 + 42 = 16 + 16
⇒ AC^2 = 32
⇒ AC = √32 cm
[taking positive square root because length is always positive]
->Hence, the length of its hypotenuse is √32 cm.
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