Quiz about Area of a triangle

Question 1

The area of a right triangle is -

Accepted Answer

$$A\left(\Delta ABC\right)=\frac{a\cdot b}{2}$$

Answer

$$A\left(\Delta ABC\right)=2\cdot a\cdot b$$

Answer

$$A\left(\Delta ABC\right)=\frac{a^2\cdot\sqrt[]{3}}{4}$$

Answer

$$A\left(\Delta ABC\right)=a\cdot b$$

Question 2

The area of an equilateral triangle is -

Accepted Answer

$$A\left(\Delta ABC\right)=\frac{a^2\cdot\sqrt[]{3}}{4}$$

Answer

$$A\left(\Delta ABC\right)=\frac{a\cdot b}{2}$$

Answer

$$A\left(\Delta ABC\right)=\frac{a\cdot h}{2}$$

Answer

$$A\left(\Delta ABC\right)=\frac{a^3\cdot\sqrt[]{2}}{4}$$

Question 3

If there known all three sides of any triangle , the area can be found by -

Accepted Answer

Heron's formula

Answer

Pythagorean theorem

Answer

Euclidean theorem

Answer

Ablaikhan's formula

Question 4

Heron's formula is -

Accepted Answer

$$A=\sqrt[]{p\left(p-a\right)\left(p-b\right)\left(p-c\right)}$$

Answer

$$A\left(\Delta ABC\right)=\frac{a\cdot b}{2}$$

Answer

$$A\left(\Delta ABC\right)=\frac{a^2\sqrt[]{3}}{4}$$

Answer

$$A=p\left(p-a\right)\left(p-b\right)\left(p-c\right)$$

Question 5

Question 5.

Accepted Answer

$$28\ \sqrt[]{3}cm^2$$

Answer

$$12\ cm^2$$

Answer

$$56\ cm^2$$

Answer

$$56\ \sqrt[]{2}\ cm^2$$

Question 6

Find the area of the triangle with side lengths 5cm , 12cm and 13cm.

Accepted Answer

$$30\ cm^2$$

Answer

$$29\ cm^2$$

Answer

$$23\ cm^2$$

Answer

$$20\ cm^2$$

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