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Byju's Answer

Standard IX

Mathematics

Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

In the adjace...

Question

In the adjacent figure $P$ is any interior point of the equilateral triangle $A B C$ of side length $2$ units. If $x_{a}, x_{b}$ and $x_{c}$ represent the distance of $P$ from the sides $B C, C A$ and $A B$ respectively then $x_{a} + x_{b} + x_{c}$ is equal to

6

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\sqrt{3}

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\frac{\sqrt{3}}{2}

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2 \sqrt{3}

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Solution

The correct option is A $6$
Solution:
ABC is equilateral triangle having sides $x_{a}, x_{b}, x_{c}$
$x_{a} + x_{b} + x_{c} =$ $3 s i d e s \times 2 u n i t s$
Answer = 6.

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In the adjacent figure 'P' is any interior point of the equilateral triangle ABC of side length 2 units.

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$In the adjacent figure, 'P' is any arbitrary interior of the triangle ABC,$ H_a, H_b, H_c $are the length of altitudes drawn from vertices A, B and C respectively. If$ x_a, x_b and x_c $represent the distance of 'P' from sides BC, AC and AB respectively, then$

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In the adjacent figure P is any interior point of the equilateral triangle ABC of side length 2 units. If xa,xb and xc represent the distance of P from the sides BC,CA and AB respectively then xa+xb+xc is equal to

The correct option is A 6Solution: ABC is equilateral triangle having sides xa,xb,xc xa+xb+xc=3sides×2units Answer = 6.

In the adjacent figure $P$ is any interior point of the equilateral triangle $A B C$ of side length $2$ units. If $x_{a}, x_{b}$ and $x_{c}$ represent the distance of $P$ from the sides $B C, C A$ and $A B$ respectively then $x_{a} + x_{b} + x_{c}$ is equal to

The correct option is A $6$
Solution:
ABC is equilateral triangle having sides $x_{a}, x_{b}, x_{c}$
$x_{a} + x_{b} + x_{c} =$ $3 s i d e s \times 2 u n i t s$
Answer = 6.