Question

A triangle has side lengths of 14’48’ in 50 feet classify it as Acute obtuse or right

Answer 1

Given:

A triangle has side lengths of 14 feet, 48 feet and 50 feet.

Required:

Classify it as Acute obtuse or right.

Step-by-step explanation:

We will use Pythagoras theorem to check whether angle right angle or not.

We know that hypotenuse side of right triangle always greater than other two sides and sum of square of base and perpendicular height equal square of hypotenuse.

As 50 is the largest side we take it as hypotenuse and 14, 48 as other two sides.

So,

`\begin{gathered} Hypotenuse^2=Base^2+Perpendicular^2 \\ 50^2=48^2+14^2 \\ 2500=2304+196 \\ 2500=2500 \end{gathered}`

Both LHS and RHS equal. Hence, it satisfying Pythagoras theorem.

Answer:

So, triangle is right angled.