Question

in figure 7 ABCD is a parallelogram De is perpendicular to ab if a b equals to 25 cm equals to 17 cm and the area of the parallelogram is 200 CM square then calculate 1. AE 2. EB​

Answer 1

Que- In figure ABCD is a parallelogram DE is perpendicular to AB if AB equals to 25 cm AD equals to 17 cm and the area of the parallelogram is 200 cm² then calculate:

1. AE

2. EB

$\boxed{\boxed{\huge{\bf{Solution}}}}$

Area of parralelogram = base × height

Area of parralelogram ABCD = 25 × DE

200 = 25 × DE

DE = 8 cm

Applying pythagoras theorem in triangle ADE

Hypontenuse² = Base² + Perpendicular ²

17² = 8² + AE²

289 = 64 + AE²

AE² = 289 - 64 = 225

AE = √225 = 15 cm

EB = AB - AE = 25 - 15 = 10 cm

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Answer 2

ANSWER:-

i) AE = 15 cm

ii) EB = 10 cm