Question

the hypotenuse of an isosceles right triangle is 1 centimetre then find its area is​

Answer 1

find first base .pand h are given then use formula root ss-@....

Answer 2

Area of isosceles right triangle is 0.249 square centimeter

Solution:

Given that,

The hypotenuse of an isosceles right triangle is 1 centimeter

To find: Area

We know that,

In a isosceles triangle the two sides of isosceles right angled triangle are equal and the measure of one angle is 90°

Let the two equal sides be "x"

By Pythagoras theorem,

$hypotenuse^2 = side^2 + side^2\\\\1^2 = x^2 + x^2\\\\2x^2 = 1\\\\x^2 = 0.5\\\\Take\ square\ root\ on\ both\ sides\\\\x = 0.7071$

The area is given as:

$Area = \frac{1}{2} \times base \times height$

Here,

base = height = 0.7071

Therefore,

$Area = \frac{1}{2} \times 0.7071 \times 0.7071\\\\Area = 0.249$

Thus area of isosceles right triangle is 0.249 square centimeter

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