Question

an isoceles right angle triangle has area 200cm find hypotenius​

Answer 1

Answer:

Step-by-step explanation: half ×base ×height =200 cm

base ×height =200×2 =400

since base and height are equal

base=height=root 400=20

20 square +20 square=hypotenuse  

800=hypotenuse square  

hypotenuse =root 800

Answer 2

∆ABC is a isosceles right angled triangle.

<ABC = 90°

AB = BC = x

AC = hypotenuse = y

i ) Area of ∆ABC = 200 cm²

=> (base×height)/2 = 200

=>( x *x )/2 = 200

=> x² = 400

=> x = √400

=> x = 20 cm

ii ) In ∆ABC ,

AC² = AB² + BC²

=> AC² = x²+x²

=> y² = 2x²

=> y² = 2×(20)²

=> y = √2×(20)²

=> y = 20√2 cm

Therefore,

Hypotenuse (y) = 20√2 cm

Or

y = 20 × 1.414

≈ 28.28 cm

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