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

Evalute right-hand limit, Evaluate following limits. Solution ...

Evaluate following limits. Solution Let's begin with the right-hand limit.  For this limit we have, x > 4  ⇒          4 - x 3   = 0      also, 4 - x → 0  as x → 4

Laplace transforms, Here is not too much to this section. We're here going ...

Here is not too much to this section. We're here going to work an illustration to exemplify how Laplace transforms can be used to solve systems of differential equations. Illus

Algebraic expressions word problems, Juan is g years old and Eva is 2 years...

Juan is g years old and Eva is 2 years younger than Juan. a.Find the sum of their ages in terms of g. b.Find the sum of their ages in g years'' time,in terms of g.

Mechnics, i have many trouble in this subject

i have many trouble in this subject

Relations, Suppose A and B be two non-empty sets then every subset of A Χ B...

Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB. Normal 0 fals

Z-value, A study was conducted to determine the proportion of people who dr...

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 317317 people over the age of? 55, 7777 dream in black and? whi

Hyperboloid of one sheet - three dimensional spaces, Hyperboloid of One She...

Hyperboloid of One Sheet The equation which is given here is the equation of a hyperboloid of one sheet. x 2 /a 2 + y 2 /b 2 - z 2 /c 2 = 1 Here is a diagram of a com

Multiple integrals, how to convert multiple integral into polar form and ch...

how to convert multiple integral into polar form and change the limits of itegration

Find out the maximum number of ounces she can ship for $10, The cost of shi...

The cost of shipping a package by Shipping Express is $4.85 plus $2 per ounce of the weight of the package. Sally only has $10 to spend on shipping costs. Which of the subsequent c

Real numbers, All the number sets we have seen above put together com...

All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i

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