In triangle ABC,angle A = 90^{circ} and AD pe | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In $	riangle ABC$,$\angle BAC = 90^{\circ}$ and $AD \perp BC$.Since $	riangle ABC \sim 	riangle ACD$ (by $AA$ similarity criterion,as $\angle C

Vedclass · Accepted Answer

$16:9$

Vedclass · Answer

(C) In $	riangle ABC$,$\angle BAC = 90^{\circ}$ and $AD \perp BC$.Since $	riangle ABC \sim 	riangle ACD$ (by $AA$ similarity criterion,as $\angle C = \angle C$ and $\angle ADC = \angle BAC = 90^{\circ}$),the ratio of their areas is equal to the square of the ratio of their corresponding sides.Specifically,$\frac{	ext{Area}(	riangle ABC)}{	ext{Area}(	riangle ACD)} = \left( \frac{BC}{AC} ight)^{2}$.Given $BC = 8 \ cm$ and $AC = 6 \ cm$.Therefore,$\frac{	ext{Area}(	riangle ABC)}{	ext{Area}(	riangle ACD)} = \left( \frac{8}{6} ight)^{2} = \left( \frac{4}{3} ight)^{2} = \frac{16}{9}$.Thus,the ratio is $16:9$.

In $\triangle ABC$,$\angle A = 90^{\circ}$ and $AD \perp BC$,where $D$ lies on $BC$. If $BC = 8 \ cm$ and $AC = 6 \ cm$,then the ratio of the area of $\triangle ABC$ to the area of $\triangle ACD$ is:

Similar Questions

$A$ rectangular garden $63 \ m$ long and $54 \ m$ broad has a path $3 \ m$ wide inside it. Find the cost of paving the path at $Rs. 37/2$ per square metre (in $Rs.$).

How many bricks,each measuring $25\, cm \times 15\, cm \times 8\, cm$,will be required to build a wall $10\, m \times 4\, dm \times 5\, m$ if $\frac{1}{10}$ of its volume is occupied by mortar?

Water flows out at the rate of $10 \, m/min$ from a cylindrical pipe of diameter $5 \, mm$. Find the time taken to fill a conical tank whose diameter at the surface is $40 \, cm$ and depth is $24 \, cm$ (in $min$)?

The area of a rhombus is $150 \, cm^2$. The length of one of its diagonals is $10 \, cm$. The length of the other diagonal is ....... $cm$.

If the circumference of a circle is equal to the perimeter of a square,what is the ratio of the area of the circle to the area of the square?

Vedclass Test Series

Exam Paper Generator

Online Exam Module