Math, asked by dudeartz, 4 months ago

an isosceles triangle has area 8cm^2,then find the length of its hypotenuse explanation needed​

Answers

Answered by naghma15
2

Answer:

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

Answered by zoomusergoogol
0

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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