Question

Use the Pythagorean Theorem to find the whole number estimate of the unknown side of the right triangle shown below.

A:3
B 10
C 9
D 4

Answer 1

• Option C.

Explanation:

• This is Right Angled Triangle.

So,

We'll solve this using the Pythagorean Theorem.

Let

• 6cm be BC, where BC is the perpendicular.

• 7cm be AB, where AB is the Base.

• AC be the Hypotenuse.

We know that,

`{ \longrightarrow \bf \qquad (AC) {}^(2) = (AB) {}^(2) +( BC) {}^(2) }`

`{ \longrightarrow \sf \qquad (AC) {}^(2) = (7) {}^(2) +( 6) {}^(2) }`

`{ \longrightarrow \sf \qquad (AC) {}^(2) = 49 +36 }`

`{ \longrightarrow \sf \qquad (AC) {}^(2) = 85 }`

`{ \longrightarrow \sf \qquad AC = √(85) }`

`{ \longrightarrow \sf \qquad AC \approx 9.21 }`

⠀

Therefore,

• The length of the unknown side is 9 cm. (Estimated)