Similar triangles, Mathematics

Assignment Help:

SIMILAR TRIANGLES : Geometry  is  the  right  foundation  of all  painting,  I have  decided to  teach its  rudiments  and  principles  to  all  youngsters  eager for  art.   (Ans: r=2)

Example

ABC is a right-angled triangle, right-angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angle are 6cm and 8 cm. Find the radius of the in circle.

414_triangle.png

Ans:    BC = 10cm

y + z = 8cm

x + z = 6cm

x + y = 10

⇒ x + y + z = 12

z = 12 - 10

z = 2 cm

∴radius = 2cm


Related Discussions:- Similar triangles

Circles, Two tangents TP and TQ are drawn to a circle with center O from an...

Two tangents TP and TQ are drawn to a circle with center O from an external point T.prove that angle PTQ=angle 2 OPQ

Factoring by grouping, Factoring By Grouping It is a method that isn't ...

Factoring By Grouping It is a method that isn't utilized all that frequently, but while it can be used it can be somewhat useful. Factoring by grouping can be nice, however it

Shortcuts, pls told the maths shortcuts

pls told the maths shortcuts

Bits, What is the largest number (in decimal) that can be made with 6 bits?...

What is the largest number (in decimal) that can be made with 6 bits?

Division, how do you turn 91 divided by730 into a compatible number

how do you turn 91 divided by730 into a compatible number

Algorithm, what does algorithm refer to

what does algorithm refer to

What is probability that a person selected at random eyes, If 65% of the po...

If 65% of the populations have black eyes, 25% have brown eyes and the remaining have blue eyes. What is the probability that a person selected at random has (i) Blue eyes (ii) Bro

Word or term for, An irregular perimeter to the circumference of a circle s...

An irregular perimeter to the circumference of a circle such as a protrusion

Definition of laplace transforms, You know that it's all the time a little ...

You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w

Derive the probability distribution of the completion times, Derive the pro...

Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd