If the area of a triangle is $49 c m^{2}$ and its base is double the height, then find the height of the triangle.

6 cm

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

9 cm

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

24 cm

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

7 cm

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

Open in App

Solution

The correct option is D
7 cm

Area of triangle $= \frac{1}{2} \times base \times height$

$\Rightarrow$ Let the height be $x$ .

$\Rightarrow$ base $= 2 x$

$49 = (\frac{1}{2}) \times 2 x \times x$

$\Rightarrow x^{2} = 49$

$\Rightarrow x = 7$

$∴$ height $= 7 c m$

Suggest Corrections

Similar questions

The base and height of the triangle are in the ratio 3:2. If the area of the triangle is 243 cm $^{2}$ , find the base and height of the triangle.

The height of a triangle is three-fifth its base. If the height is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle.

Q. In a triangle the height is double the base and the area is 400

c m^{2}

. Find the length of the base and height.

Q. Find the base of the parallelogram, if its area is 108

c m^{2}

and it height is 12 cm.

Join BYJU'S Learning Program

If the area of a triangle is 49 cm2 and its base is double the height, then find the height of the triangle.

The correct option is D 7 cm Area of triangle =12×base×height ⇒ Let the height be x. ⇒ base =2x 49=(12)×2x×x ⇒x2=49 ⇒x=7 ∴ height =7 cm

If the area of a triangle is $49 c m^{2}$ and its base is double the height, then find the height of the triangle.

The correct option is D
7 cm

Area of triangle $= \frac{1}{2} \times base \times height$

$\Rightarrow$ Let the height be $x$ .

$\Rightarrow$ base $= 2 x$

$49 = (\frac{1}{2}) \times 2 x \times x$

$\Rightarrow x^{2} = 49$

$\Rightarrow x = 7$

$∴$ height $= 7 c m$