In the figure shown, dotted lines represent the heights to the corresponding bases BC, CA and AB respectively. Pick the figure which depicts the height incorrectly.

All of them are incorrect.

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figure 2

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figure 1

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figure 3

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Solution

The correct option is D figure 3

Height corresponding to a given base in case of triangles means perpendicular dropped from the opposite vertex. It may or may not lie inside the triangle always. So, only figures 1 and 2 are correct. But figure 3 is incorrect because the height shown is corresponding to AC, not AB. The correct corresponding heights are shown in the figure below.

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Similar questions

A $Δ A B C$ is given. If lines are drawn through A, B, C, parallel respectively to the sides BC, CA and AB, forming $Δ P Q R$ , as shown in the adjoining figure, show that $B C = \frac{1}{2} Q R$ .

Q. In the given figure, if AD, AE and BC are tangents to the circle at D, E and F respectively, Then,

(a) AD = AB + BC + CA

(b) 2AD = AB + BC + CA

(c) 3AD = AB + BC + CA

(d) 4AD = AB + BC + CA

Q. In Figure, which of the following is not true?

(a)

\vec{A B} + \vec{B C} + \vec{C A} = \vec{0}

(b)

\vec{A B} + \vec{B C} - \vec{A C} = \vec{0}

(c)

\vec{A B} + \vec{B C} - \vec{C A} = \vec{0}

(d)

\vec{A B} - \vec{C B} + \vec{C A} = \vec{0}

Figure

Question 72

Draw the images of the points A, B, and C in the line m (figure). Name them as A`, B` and C` respectively and join them in pairs. Measure AB, BC, CA, A`B`, B`C` and C`A`. Is AB = A`B`, BC = B`C`, and CA = C`A`?

In the figure shown, dotted lines represent the heights to the corresponding bases BC, CA and AB respectively. Pick the figure which depicts the height incorrectly.

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