Question

What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?

4 units
2 units
Square root of 6 units
Square root of 8 units

Answer 1

Given:

• Base = 2 units.
• Perpendicular = 2 units.

Need to find:

• Length of the hypotenuse of a right angle triangle?

Solution:

We know that, if we are given with the base of right angle triangle and perpendicular of right angle triangle, we have the required formula, that is,

• (H)² = (B)² + (P)².

« Substituting the given values in the formula,

→ (H)² = (B)² + (P)²

→ (H)² = (2)² + (2)²

→ (H)² = 4 + (2)²

→ (H)² = 4 + 4

→ (H)² = 8

→ H = √8.

∴ The length of the hypotenuse of a right angle triangle is √8 units.

Answer 2

Question:-

• What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?

To Find:-

• Find the length.

Solution:-

$\tt\implies \: { H }^{ 2 } = { Opposite }^{ 2 } + { Adjacent }^{ 2 }$

$\tt\implies \: { H }^{ 2 } = { 2 }^{ 2 } + { 2 }^{ 2 }$

$\tt\implies \: H = \sqrt{ 4 + 4 }$

$\tt\implies \: H = \sqrt { 8 }$

Hence ,

• The length of hypotenuse is √8