Question

in a triangle ABC=90 and BD perpendicular AC if AB=5.7,BD=3.8 andCD=5.4cm find the value of BC

Answer 1

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maahira17

Secondary SchoolMath 10+5 pts

In the given figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

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Ayushi1600 · Ambitious

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nikitasingh79

Nikitasingh79 ★ Brainly Teacher ★

SOLUTION :

Given: BD⊥AC , AC = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, and ∠ABC = 90°.

We know that, If a perpendicular is drawn from the vertex containing a right angle of a right triangle to the hypotenuse then the triangle on each side of the perpendicular are similar to each other and to the original triangle.

Since, ΔABC∼ΔBDC

AB/BD = BC/CD

[Since, triangles are similar, hence corresponding sides will be proportional]

5.7/3.8 = BC/5.4

BC = (5.7 x 5.4) /3.8

BC =( 5.7 × 2.7) /1.9

BC = 3 × 2.7

BC = 8.1 cm

Hence, the length of BC is 8.1 cm.

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Answer 2

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