Question

How many different non congruent triangles can you draw with two sides 12 and 6cm ,and area 36 cm² ? *


​

Answer 1

Answer:

Area of a triangle = 1/2.a.c.sinB

12 cm^2= 1/2.8 cm.6 cm.sinB.

or. 12= 24.sinB

or. sinB=12/24 = 1/2

or. B= 30° or 150°.

Thus , only two triangles are possible to draw.

(1) sides a=8 cm , c=6 cm and angle between them B=30°.

(2)sides a=8 cm , c=6 cm and angle between them B=150°. Answer.

Again , area of the triangle = 1/2.a.c.sinB

24 cm^2= 1/2.8 cm.6 cm.sinB

24 = 24.sinB

or. sinB=24/24= 1

or B= 90°.

Thus , only a right angled triangle in which a=8 cm ,c =6 cm and

angle between them B= 90°. Answer.

hope it's helpful to you ✌️✌️✌️✌️✌️✌️

please mark me as brainlist and mark thanks.

please follow me bro.