Question

the hypotenuse of an isosceles right angled triangle is 12cm . Find its area​

Answer 1

Answer:

let ABC be a right angled isosceles triangle whose hypotenuse is 12cm(AC)

by Pythagoras theorem

AC²=AB²+BC²

AB=BC(ABC is an isosceles triangle)

AB²=BC²

AC²=AB²+BC²

AC²=AB²+AB²

(12cm)²=2AB²

144cm²=2AB²

AB²=144cm²/2

AB²=72cm²

AB=√72cm²

AB=6√2 cm

therefore BC=6√2cm

area of triangle=1/2×AB×BC

=1/2×6√2cm×6√2cm

=1/2×72cm²

=36 cm²

Therefore,the area of triangle is 36cm²

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Answer 2

anwer is 36 sq cm

Step-by-step explanation:

Hypotenuse of right angled isosceles triangle is 12 cm

(formula : area of the right angled isosceles triangle = 1/4 × {hypotenuse} )

therefore , area of the right angled isosceles triangle = 1/4 × 12 × 12

= 3 × 12

= 36 sq cm ....