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The diagram shows a right angled triangle.
The length of the base of the triangle is 2 square root 3 cm. the length of the hypotenuse of the triangle is 6cm. The area of the triangle is A cm squared.
Show that A = k square root 2 giving the value of k.

The diagram shows a right angled triangle The length of the base of the triangle is 2 square root 3 cm the length of the hypotenuse of the triangle is 6cm The a class=

Respuesta :

carlpeters243

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

The right triangle is the one where one of the angles is a right angle (90 degrees) or two of the sides are perpendicular.

Finding the value of k:

  • The right-angled triangle is one where one of the angles is equal to 90°. The sum of the other 2 aspects is 90°.
  • The perpendicular and the base of the triangle are indeed the sides that include the right angle.
  • The hypotenuse, which would be the longest of the three sides, is the third side.

In [tex]\Delta[/tex] ABC

h² = 6² -(2√3)²

h² = 36-2² × √3²

h² = 36- 4× 3

h² = 36- 12

h² = 24

h =√24

h = 2√6 cm

Area  = [tex]\frac{1}{2}[/tex]× BC × h

         = [tex]\frac{1}{2}[/tex] × 2√3 ×  2√6

        = 2√18

        = 6√2

compare it with A= K√2 So K= 6

Find out more about the right angled triangle here:

brainly.com/question/3770177