Question

Given three sticks of lengths 10cm, 5cm and 3cm. A triangle is formed using

the sticks, then area of the triangle will be

(i) 57cm²

(ii) 25cm²

(iii) 15cm²Type equation here.

(iv) Unable to form a triangle, so no area can be calculated.​

Answer 1

Step-by-step explanation:

Here lets find the value of S first

S= a + b+ c

2

= 10+5+3

2

= 18/2 = 9

Now we can use Heron's formula to find the area

A= ✓s(s-a)(s-b)(s-c)

= ✓9(9-10)(9-5)(9-3)

= ✓9cm×-1cm×4cm×6cm

=✓-216cm⁴

= 6cm²✓6 or 14.69cm²

hence (iii) is the correct answer