R. D. Sharma Solutions for Chapter: Heron's Formula, Exercise 4: MULTIPLE CHOICE QUESTIONS (MCQs)

The base and hypotenuse of a right triangle are respectively $5 \mathrm{cm}$ and $13 \mathrm{cm}$ long. Its area is

The length of each side of an equilateral triangle of area $4\sqrt{3} {\mathrm{cm}}^2$, is

If the area of an isosceles right triangle is $8 {\mathrm{cm}}^2$, what is the perimeter of the triangle?

The lengths of the sides of $△ABC$ are consecutive integers. It $△ABC$ has the same perimeter as an equilateral triangle with a side of length $9 \mathrm{cm}$, what is the length of the shortest side of $△ABC$?

In figure, the ratio of $AD$ to $DC$ is $3$ to $2$. If the area of $△ABC$ is $40 {\mathrm{cm}}^2$, what is the area of $△BDC$?

If the length of a median of an equilateral triangle is $x \mathrm{cm}$, then its area, is

If every side of a triangle is doubled, then increase in the area of the triangle, is

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2} \mathrm{cm}$, then area of the triangle is