Geometry Quiz 1

A regular polygon has external angle =5°, find the sides of polygon

Answer explanation

Sum total of external angles is 360.

Therefore,

sides = 360 / 5 = 72

In  ΔABC, D is on BC such that AD is median. If AB = 5, BC = 6, CA = 7, find [ABD]

Let ΔABC be such that AB = AC = 5 and BC=6. Find circumradius.

In ΔABC, A=90°, AD ⊥ BC. If AB=3, AC=4, find AD+CD-BD=? (Express answer using decimal point form)

Answer explanation

Use Complete Pythagoras formulae

AD = 2.4

BD=1.8

CD=3.2

AD+CD-BD=3.8

Find area of Right angle triangle having inradius = 4, circumradius = 10.