Question

ello ._.
An isosceles right triangle has area 8 cm². The length of its hypotenuse is (a) 32−−√ cm
(b) 16−−√ cm
(c)48−−√ cm
(d) 24−−√ cm

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Answer 1

Answer:

Correct option is

Correct option isA 32 cm

Explanation:Let height of triangle = hAs the triangle is isosceles,Let base = height =hAccording to the question, Area of triangle = 8cm 2 ⟹1/2×Base×Height=8

×Base×Height=8⟹ 1/2×h×h=8

×h×h=8⟹h2=16cm

⟹h=4cmBase = Height = 4cmSince the triangle is right angled.

+Height 2 ⟹Hypotenuse 2 =4 2 +4 2 ⟹Hypotenuse 2 =32⟹Hypotenuse= 32 Hence, Options A is the correct answer.

Step-by-step explanation:

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