Question

Find the missing length to the nearest tenth of a meter of the

right triangle. One side is 1.4m and the other is 3.1. What is the
third side?

Answer 1

length of the third side may be either 3.4 m or 2.8 m.

Explanation:

Measure of two sides of a right triangle are 1.4 m and the other side is 3.1 m.

then we have to find the measure of third side.

If the third side of the triangle is its hypotenuse then

(Third side)² = (1.4)² + (3.1)²

Third side =
`\sqrt{(1.4)^(2)+(3.1)^(2)}`

=
`√(1.96+9.61)`

=
`√(11.57)`

= 3.4 m

If the third side is one of the perpendicular sides of the triangle and 3.1 m is hypotenuse, then

(Third side)² + (1.4)² = (3.1)²

(Third side)²= (3.1)² - (1.4)²

Third side =
`\sqrt{(3.1)^(2)-(1.4)^(2)}`

=
`√(9.61-1.96)`

=
`√(7.65)`

= 2.76 m

≈ 2.8 m

Therefore, length of the third side may be either 3.4 m or 2.8 m.