Question

an isoceles traingle which is right traingle to has area 8cm^2 . the length of its hypotenuse is options - a) √32 b) √16 c) √48 d) √24​

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:

Option b

Answer 2

Step-by-step explanation:

(a) Given, area of an isosceles right triangle = 8 cm2

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

AC2 = AB2 + BC2 = 42 + 42 = 16 + 16

⇒ AC2 = 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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