Mathematics

In the given figure, $$AB$$ and $$DE$$ are perpendicular to $$BC$$. If $$AB=9cm, DE=3cm$$ and $$AC=24cm$$, calculate $$AD$$.


ANSWER

$$16cm$$


SOLUTION
Given, $$\angle ABC = \angle DEC= 90^{\circ}$$
In $$\triangle ABC$$ and $$\triangle DEC$$,
$$\angle ABC = \angle DEC$$ (Each $$90^{\circ}$$)
$$\angle ACB = \angle DCE$$ (Common)
$$\angle BAC = \angle CDE$$ (third angle)
Thus, $$\triangle ABC \sim \triangle DEC$$
Hence, $$\frac{AB}{DE} = \frac{AC}{DC}$$
$$\frac{9}{3} = \frac{24}{24 - AD}$$
$$24 - AD = 8$$
$$AD = 16$$ cm
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Single Correct Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
In the given figure, $$\angle x$$ and $$\angle y$$ are......
  • A. $$x= 37^0, y = 70^0$$
  • B. $$x= 50^0, y = 57^0$$
  • C. $$x= 57^0, y = 50^0$$
  • D. $$x= 70^0, y = 37^0$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 Subjective Medium
Find the value of $$x$$ for which the angles $${(2x-5)}^{o}$$ and $${(x-10)}^{o}$$ are the complementary angles.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 Subjective Medium
Find the complement of the following angle.
$$45^o$$.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Single Correct Medium
______ angles have common side and vertex but they don't overlap.
  • A. Vertical
  • B. Corresponding
  • C. Alternate
  • D. Adjacent

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
In questions $$ 1 $$ and $$ 2, $$ given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles:

$$ \angle 1 \quad and \quad \angle 5 $$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer