Question

The three sides of a triangle are of measure 8,x and 17 respectively.For what value x will it become the base of a right angle triangle?​

Answer 1

Answer:

Step-by-step explanation:

In a right triangle , the longest side is called the Hypotenuse .

here, hypotenuse = 17

         base = x

        height = 8

∴ by pythagoras law , (17)² = (x)² + (8)²

⇒ 289 = x² + 64

⇒x² = 289 - 64

⇒x² = 225

⇒x = √225 = √15 ×15

       ∠x = 15

∴ Value of x = 15

Answer 2

Answer:

x will become the base of a right-angle triangle when its value will be 15.

Given:

A right angle triangle having sides 8, x and 17.

It is given that x is base.

So, 17 units will be its hypotenuse and 8 units be its perpendicular.

Let ΔABC be the given triangle such that,

AB = 8 units

BC = x units

AC = 17 units

Applying Pythagoras theorem to the above triangle, we get

Hypotenuse² = Perpendicular² + Base²

(AC)² = (AB)² + (BC)²

(17)² = (8)² + (x)²

289 = 64 + x²

x² = 289 - 64

x² = 225

x = √225

x = 15 units

Base = x = 15 units

Hence, x will become the base of a right-angle triangle when its value will be 15.

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