Area of Triangle (Base Length and Height Are Known)
An isosceles ...
Question
Question 1 An isosceles right triangle has area 8cm2. The length of its hypotenuse is
Open in App
Solution
Given, area of an isosceles right triangle = 8cm2 Area of an isosceles triangle =12(Base×Height) ⇒8=12(Base×Base) [∵ base = height, as triangle is an isosceles triangle] ⇒(Base)2=16⇒Base=4cm In ΔABC, using Pythagoras theorem, AC2=AB2+BC2=42+42=16+16 ⇒AC2=32⇒AC=√32cm [taking positive square root because length is always positive] Hence, the length of its hypotenuse is √32cm