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.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

figure 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

figure 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

figure 3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

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.

Suggest Corrections

Similar questions

In the figure shown, dotted lines represent corresponding heights of the triangles to the bases they are kept on. Pick the correct option.

In the adjoining figure,

A B C

is triangle. Through

A,

B

and

C

lines are drawn parallel to

B C,

C A

and

A B

respectively, which forms a

Δ P Q R .

Show that

2 (A B + B C + C A) = P Q + Q R + R P .

Q. A ∆ABC is given. If lines are drawn through A, B, C, parallel respectively to the sides BC, CA and AB, forming ∆PQR, 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

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`?

Join BYJU'S Learning Program