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Step-1

Title: Triangles

Grade: 8-a Lesson: S2-L5

Explanation: Let us verify the answer here with the steps.

Description:

Explanation	Answer
Problem	Triangle ABC shown below is inscribed inside a square of side 30 cm. Find the area of the triangle.
Formula used	\$"Area of Triangle" = (1/2) \times "base" \times "height"\$
Step - 1	From the diagram, the height of triangle = \$30\$
Step - 2	From the diagram, the base of triangle = \$30\$
Step - 3	Using the formula, \$"Area of Triangle" = (1/2) \times "base" \times "height"\$ ⇒ \$"Area of Triangle" = (1/\cancel2^1) \times \cancel(30)^15 \times 30\$ ⇒ \$"Area of Triangle" = 15 \times 30\$ ⇒ \$"Area of Triangle" = 450\$
Step - 4	Hence the area of triangle is 450.

Explanation

Answer

Problem

Triangle ABC shown below is inscribed inside a square of side 30 cm. Find the area of the triangle.

Formula used

\$"Area of Triangle" = (1/2) \times "base" \times "height"\$

Step - 1

From the diagram, the height of triangle = \$30\$

Step - 2

From the diagram, the base of triangle = \$30\$

Step - 3

Using the formula,

\$"Area of Triangle" = (1/2) \times "base" \times "height"\$

⇒ \$"Area of Triangle" = (1/\cancel2^1) \times \cancel(30)^15 \times 30\$

⇒ \$"Area of Triangle" = 15 \times 30\$

⇒ \$"Area of Triangle" = 450\$

Step - 4

Hence the area of triangle is 450.