Find the area of shaded region in triangle where angle ADB = 90degree...AD=12cm AC=15cm BD= 5cm BC = 14 cm
Answers
Answered by
9
This question requires a figure. Please post the figure.
Answered by
13
Answer:
Area of shaded region = area of ∆ABC - area of ∆ADB.
_____________
∆ADB is a right angle triangle.
In ∆ADB,
AD = 12 cm
BD = 16 cm
Ar(∆ADB) = 1/2 × base × height
=> Ar(∆ADB) = 1/2 × AD × BD
=> Ar(∆ADB) = 1/2 × 12 × 16
=> Ar(∆ADB) = 96 cm^2
____________________
you can find AB by using Pythagoras theorem.
The sides of the triangle are 48cm, 52cm and 20cm.
______________________
Area of shaded region = area of ∆ABC - area of ∆ADB.
=> Area of shaded region = 480 - 96
=> Area of shaded region = 384 cm^2
Step-by-step explanation:
Similar questions