Question

For the decoration on Yashika’s birthday, Yashika and Mansi prepared coloured paper penants in the form of scalene triangles in two sizes (i) green coloured pennant of sides 3 inches,4 inches,5 inches (ii) red coloured pennant of sides 5 inches,7 inches,8 inches They prepared fifty pennants of each colour Question 1 Find the total red colored paper used. (A) 150 square inches (B) 300 square inches (C)400 square inches (D) 450 square inches

Answer 1

Answer:

300 square inches....

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Answer 2

Answer:

Concept:

A triangle called a Scalene Triangle in geometry is one with equally spaced-apart sides. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to the sides, there are three different kinds of triangles.

Step-by-step explanation:

Given:

(i)  green colored pennant of sides 3 inches,4 inches,5 inches

(ii) red-colored pennant of sides 5 inches,7 inches,8 inches

They prepared fifty pennants of each color

Find:

The total red colored paper used

Solution:

Here sides of a triangle are

    $S=& \frac{a+b+c}{2}=\frac{577+8}{2}=\frac{20}{2}=10$

  $\text { Area of } & \Delta l=\sqrt{S(s-a)(S-b)(S-c)}$

                    $&=\sqrt{10(10-5)(10-7)(10-8)}$

                    $&=\sqrt{10 \times 5 \times 3 \times 2}$

                    $&=\sqrt{300}$

The total red colored paper used is 300 square inches.

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