Question

Construct a right angles triangle in which sides containing the right angles are 3 cm and 4 cm . Measure the hypotenuse

Answer 1

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Answer 2

Answer:

The measure of hypotenuse is 5 cm .

Step-by-step explanation:

Given as :

For A right angles triangles

From the Pythagorean theorem

Hypotenuse² = perpendicular² + base²

Now, Let the measure of base = AB = 4 cm

The measure of perpendicular = CA = 3 cm

The measure of hypotenuse = BC = x cm

So, From the condition of Pythagorean Theorem

i.e h² = p² + b²

Or, BC² = CA² + AB²

Or, x² = 3² + 4²

Or, x² = 9 + 16

Or, x² = 25

∴ x = $\sqrt{25}$

i.e x = 5 cm

So, The measure of hypotenuse = BC = x = 5 cm

Hence, The measure of hypotenuse is 5 cm . Answer