Embibe Experts Solutions for Chapter: Triangles, Exercise 1: meghalaya board-2019

State Pythagoras theorem.

If the altitudes of two similar triangles are in the ratio $2:3$, what is the ratio of their areas?

The perimeters of two similar triangles are $25 \mathrm{cm}$ and $15 \mathrm{cm}$ respectively. If one side of the first triangle is $9 \mathrm{cm}$, what is the corresponding side of the other triangle?

In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite to the first side is a right angle.

$∆ABC$ is an isosceles triangle with $AB=AC=13 \mathrm{cm}$. The length of the altitude from $A$ on $BC$ is $5 \mathrm{cm}$. Find $BC$.

If a line divides any two sides of a triangle in the _____ ratio, then the line is parallel to the third side.

Two triangles are similar, if their corresponding sides are _____.

The greatest side of a right-angled triangle is called hypotenuse.