Question

The length of the three sides of a triangle are 6cm, 10 cm and x cm. Between what two
whole number should the value of x lies ?
(A) 4 cm <x< 16 cm
(B) 6 cm < x < 20 cm
(C) 3 cm<x< 10 cm
(D) 2 cm < x < 8 cm


please help me to solve this​

Answer 1

Answer:

A slightly easier approach to solve this problem would be to say that A=a*b*sin(θ )/2 where a=6 cm & b=10 cm and θ is the included angle. Now sin(θ) is maximum when θ=90° or the given triangle is a right triangle, in which case, x²=6²+10² or x=√136 cm = 2√34 cm

Step-by-step explanation: