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3 years ago

Please help I’ll mark as brainliest

Mathematics

1 answer:

Vikki [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle CBD--->Definition of perpendicular lines

Segment DB is congruent to Segment Db--->Reflextive property of congruence

Angle ADB is congruent to angle CDB--->angle bisector theorem

2 angles and 1 side is congruent, therefore the triangles are congruent by the ASA Congruence Theorem

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Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

To find:

The value of $\cos \theta$ .

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

$Hypotenuse=\sqrt{(3x)^2+(5x)^2}$

$Hypotenuse=\sqrt{9x^2+25x^2}$

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