Question

In the given figur find BD, if Dell Bc ​

Answer 1

The length of BD is 4/3 cm

The diagram shows a right triangle ABC, with DE parallel to BC. We are asked to find the length of BD, given that the base of the triangle is 2 cm and the height is 1 cm.

Since DE is parallel to BC, we know that triangle ADE is similar to triangle ABC. We can use the following ratio to find BD:

BD/BC = AD/AC

We are given that BC = 2 cm and the height of the triangle (AC) is 1 cm. We can find AD using the Pythagorean theorem:

`AD^2 = AC^2 - DC^2`

where DC = BC - BD (since BD + DC = BC)

Substituting the known values, we get:

`AD^2` =
`1^2` -
`(2 - BD)^2`

Simplifying the equation, we get:

`AD^2` = 1 - (4 - 4BD +
`BD^2`)

`AD^2` = 4BD - 3

Taking the square root of both sides, we get:

AD = 2√(BD) - √3

Now we can substitute this value of AD in the ratio:

BD/BC = AD/AC

BD/2 = (2√(BD) - √3) / 1

Simplifying the equation, we get:

BD = 4√(BD) - 2√3

Solving for BD, we get:

3√(BD) = 2√3

Squaring both sides, we get:

9BD = 12

BD = 4/3 cm

Therefore, the length of BD is 4/3 cm.

The probable question may be:

"In the given figure find BD, if DE ll Bc"