Using the information given in the figure- find the values of x and y- x - 15- nbsp-y - 9 nbsp-x - 9- nbsp-y - 15-x - 14- y - 9-x - 15- y - 10-

The correct option is A x = 15, nbsp;y = 9 nbsp; Given, AB = AC 94=6x+4 6x=90 x=15 nbsp; In ABD and ACD, (i) ∠ ADB = ∠ ADC = 90^∘ ... (given) (ii) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

RHS Theorem

Using the inf...

Question

Using the information given in the figure, find the values of x and y.

x = 15, y = 9

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x = 9, y = 15

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 14, y = 9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 15, y = 10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
x = 15, y = 9

Given, $A B = A C$
$⟹ 94 = 6 x + 4 ⟹ 6 x = 90 ⟹ x = 15$

In $△ A B D$ and $△ A C D$ ,
(i) $∠ A D B = ∠ A D C = 90^{\circ}$ ... (given)
(ii) AB = AC ... (given)
(iii) AD = AD ... (common side)
$\Rightarrow$ $△ A B D ≅ △ A D C$ ... (RHS congruence rule)
Then, $B D = C D$ ... (CPCT)
$\Rightarrow 2 y - 7 = 11 \Rightarrow 2 y = 18 \Rightarrow y = 9$

Suggest Corrections

Similar questions

Q. Mark (✓) against the correct answer:
x and y vary inversely. When x = 15, then y = 6. What will be the value of y when x = 9?
(a) 10
(b) 15
(c) 54
(d) 135

Q. Solve each of the following equation and also check your result in each case:

\frac{(45 - 2 x)}{15} - \frac{(4 x + 10)}{5} = \frac{(15 - 14 x)}{9}

If 7x -15y = 4x + y , find the value of x : y. Hence, use componendo and dividendo to find the values of :

(i) $\frac{9 x + 5 y}{9 x - 5 y}$ (ii) $\frac{3 x^{2} + 2 y^{2}}{3 x^{2} - 2 y^{2}}$

Using the information given in the figure, find the values of x and y.

Using the information given in the figure, the values of x and y are __________________

Join BYJU'S Learning Program

Using the information given in the figure, find the values of x and y.

The correct option is A x = 15, y = 9 Given, AB=AC ⟹94=6x+4⟹6x=90⟹x=15 In △ABD and △ACD, (i) ∠ADB=∠ADC=90∘ ... (given) (ii) AB = AC ... (given) (iii) AD = AD ... (common side) ⇒△ABD≅△ADC ... (RHS congruence rule) Then, BD=CD ... (CPCT) ⇒2y–7=11⇒2y=18⇒y=9