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

Byju's Answer

Standard X

Mathematics

Heron's Formula

The perimeter...

Question

The perimeter of $Δ A B C$ is $50 c m$ . Its sides $A B, B C$ and $A C$ are respectively $15 c m$ , $10 c m$ and $(x + 4) c m$ . Find the value of $x$ ?

Open in App

Solution

Given: Perimeter $= 50 c m$
Sides of the given triangle are $15 c m$ , $10 c m$ , and $(x + 4) c m$ .
We know that perimeter of the triangle is sum of all sides.
$∴ 15 + 10 + x + 4 = 50$
$\Rightarrow x + 29 = 50$
$\Rightarrow x = 50 - 29$
Therefore, $x = 21$

Suggest Corrections

Similar questions

In $Δ A B C, ∠ B = 90^{\circ}$ . Find the sides of the triangle, if AB = (x + 2) cm, BC = (x + 4) cm and AC = (x + 6) cm.

Q. In a

Δ A B C, D

and

E

are respectively the mid-points of sides AB and AC. If AD = 3 cm, DE = 5 cm and AE = 3.5 cm, then the perimeter of

Δ A B C

is equal to

Δ

ABC and

Δ

Δ

PQR.

Q. In triangle

A B C

D

and

E

are mid-points of sides

A B

and

B C

respectively. Also,

F

is a point in side

A C

so that

D F

is parallel to

B C

Find the perimeter of parallelogram

D B E F

, if

A B = 10

cm,

B C = 8 \cdot 4

cm and

A C = 12

cm,

In a triangle, P, Q and R are the mid points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30 cm, the perimeter of the quadrilateral ARPQ is

Join BYJU'S Learning Program

The perimeter of ΔABC is 50 cm. Its sides AB,BC and AC are respectively 15 cm, 10 cm and (x+4) cm. Find the value of x?

Given: Perimeter =50 cmSides of the given triangle are 15 cm, 10 cm, and (x+4) cm.We know that perimeter of the triangle is sum of all sides.∴15+10+x+4=50⇒x+29=50⇒x=50−29Therefore, x=21

The perimeter of $Δ A B C$ is $50 c m$ . Its sides $A B, B C$ and $A C$ are respectively $15 c m$ , $10 c m$ and $(x + 4) c m$ . Find the value of $x$ ?

Given: Perimeter $= 50 c m$
Sides of the given triangle are $15 c m$ , $10 c m$ , and $(x + 4) c m$ .
We know that perimeter of the triangle is sum of all sides.
$∴ 15 + 10 + x + 4 = 50$
$\Rightarrow x + 29 = 50$
$\Rightarrow x = 50 - 29$
Therefore, $x = 21$