Question

a side of isosceles right angled triangle is 5cm. find its hypotenuse

Answer 1

Answer:

Isosceles right angled triangle has 2 side equal.

Let sides be hypotenuse be "x"

By pythagoras theorem,

5^2 + 5^2 = x^2

50 = x^2

x = 7.071 cm = Hypotenuse

Answer 2

Given,

An isosceles right-angled triangle with one side = 5 cm

To find,

The hypotenuse of the triangle.

Solution,

The hypotenuse of the given triangle will be 5√2 cm.

According to the question,

We have an isosceles right-angled triangle whose one side is 5 cm.

We know that in an isosceles triangle two sides and two corresponding angles are equal.

Now, let's take this triangle to be ABC and right-angled at B.

AC = hypotenuse, AB = height and BC = base

So, angle BAC = angle BCA

Then,

AB = BC = 5 cm

Now,

Using the Pythagoras theorem,

AC² = AB²+BC²

AC² = (5)²+(5)²

AC² = 25+25

AC² = 50 cm²

AC = $\sqrt{50}$ cm

AC = 5√2 cm

Hence, the hypotenuse of the given triangle is 5√2 cm.