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Step-5

Title: Area of Traiangle

Grade: 8-a Lesson: S1-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the area of the scalene triangle ABC with the sides 8 cm, 6 cm and 4 cm.
2	Step	Given base (b) = 8 cm , side (a) = 6cm and c = 4 cm
3	Formula:	Area of Triangle Here, we have to find out (s) value	\$sqrt(s \times (s-a) \times (s-b) \times (s-c)\$ \$(a+b+c)/2\$
4	Step	Substitute the values	\$(6+8+4)/2\$ \$(18cm)/2\$
5	Step	Therefore, s value is Area of Scalene Triangle	\$9cm\$ \$sqrt(s \times (s-a) \times (s-b) \times (s-c)\$
6	Step	Substitute the values	\$sqrt(9cm \times (9-6)cm \times (9-8)cm \times (9-4)cm\$ \$sqrt(9cm \times (3cm) \times (1cm) \times (5cm)\$
7	Step	After Simplication we get,	\$sqrt(27)\times(5)(cm)^2\$ = \$sqrt(135)(cm)^2\$
8	Step	Therefore, the area of scalene triangle is	\$sqrt(135)(cm)^2\$
9		Answer	C

Step

Type

Explanation

Answer

Problem

Find the area of the scalene triangle ABC with the sides 8 cm, 6 cm and 4 cm.

Step

Given base (b) = 8 cm , side (a) = 6cm and c = 4 cm

Formula:

Area of Triangle

Here, we have to find out (s) value

\$sqrt(s \times (s-a) \times (s-b) \times (s-c)\$
\$(a+b+c)/2\$

Step

Substitute the values

\$(6+8+4)/2\$
\$(18cm)/2\$

Step

Therefore, s value is

Area of Scalene Triangle

\$9cm\$
\$sqrt(s \times (s-a) \times (s-b) \times (s-c)\$

Step

Substitute the values

\$sqrt(9cm \times (9-6)cm \times (9-8)cm \times (9-4)cm\$
\$sqrt(9cm \times (3cm) \times (1cm) \times (5cm)\$

Step

After Simplication we get,

\$sqrt(27)\times(5)(cm)^2\$ = \$sqrt(135)(cm)^2\$

Step

Therefore, the area of scalene triangle is

\$sqrt(135)(cm)^2\$

Answer