Please solve it.. I need step by step explanation..
it's answer should come 384cm^2
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Answers
Explanation:
First you see that we have a triangle inside a triangle
but the smaller triangle is a right angle triangle
And we have two sides of it
So using Pythagoras theorem
we will find the third side which is a side of the bigger triangle
so when we will get all the sides of the bigger triangle
When we will get the all sides of the bigger triangle
using Heron's formula we will find area of bigger triangle
then subtract the area of smaller one
and you get the area of shaded region!
Solution:
According to Pythagoras theorem
AB^2=AD^2+BD^2
AB^2=144+256
AB^2=400
AB=20cm
AREA OF BIGGER TRIANGLE
Using Heron's formula
S=(AB+AC+BC)/2
=√S(S-AB)(S-AC)(S-BC)
=√60(60-52)(60-48)(60-20)
=√60×8×12×40
=√230400
=480cm^2
Area of smaller triangle
=1/2× base×height
=1/2×12×16=96cm^2
Area of shaded region
=Area of bigger triangle (ABC)-Area of smaller one(ABD)
=(480-96)cm^2=384cm^2
#Maths-for-life
Answer:
See the above mentioned attachment Buddy
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️i am happy to give this answer today
Happy wala birthday ♥️AB♥️ .
