Question

In the triangle ABC, AD is perpendicular on BC and the area of the triangle is 60 cm². Find the value of x.
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Answer 1

Answer:

X= 13 cm

Step-by-step explanation:

Area of Triangle ABC = 60 cm²

Base (BC) = 5cm + 5cm = 10cm

Height (AD) = ?

Area = ½× base(BC) × height(AD)

60=½×10× AD

60 = 5 × AD

60/5 = AD

12 = AD

To find X , we will use Pythagoras Theorem

(AB)² = (AD)² + (BD)²

(x)² = (12)² + (5)²

(x)² = 144 + 25

(x)² = 169

x = 13

Hope this helps.....