In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ?
(a) 7.5 cm
(b) 8 cm
(c) 12 cm
(d) 14 cm

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Solution

(a) 7.5 cm

ar (||gm ABCD) = base × height
⇒ AB × DL = AD × BM
⇒ 10 × 6 = AD × 8
⇒ AD = 60 ÷ 8 = 7.5 cm

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In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ? (a) 7.5 cm (b) 8 cm (c) 12 cm (d) 14 cm

​(a) 7.5 cm ar (||gm ABCD) = base × height ⇒ AB ​× DL = AD ​× BM ⇒ 10 ​× 6 = AD ​× 8 ⇒​ AD = 60 ÷​ 8 = 7.5 cm

In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ?
(a) 7.5 cm
(b) 8 cm
(c) 12 cm
(d) 14 cm

(a) 7.5 cm

ar (||gm ABCD) = base × height
⇒ AB × DL = AD × BM
⇒ 10 × 6 = AD × 8
⇒ AD = 60 ÷ 8 = 7.5 cm