Question

Area of a largest triangle that can be increased in a semi circle of radius 14 CM is

Answer 1

Answer:

r

2

sq. units

The area of a triangle is equal to the base times the height.

In a semi circle, the diameter is the base of the semi-circle.

This is equal to 2×r (r = the radius)

If the triangle is an isosceles triangle with an angle of 45

∘

at each end, then the height of the triangle is also a radius of the circle.

A =

2

1

×b×h formula for the area of a triangle becomes

A =

2

1

×2×r×r because:

The base of the triangle is equal to 2×r

The height of the triangle is equal to r

A =

2

1

×2×r×r becomes:

A = r

2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

by considering the values given in the question we can say that

height of the triangle ACB = radius of the circle = 14cm

base of the triangle ACB = diameter of the circle = 14+14 =28 cm

now area of the largest triangle that can fit in a circle of radius 14 cm is = 1/2 × base × height = 1/2 × 28 × 14 =

196 square units.