If area of a triangle is $57 c m^{2}$ and one of its side is $9.5 c m$ , then the length of its corresponding altitude is

10 cm

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

14 cm

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

12 cm

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

17 cm

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

Open in App

Solution

The correct option is C
12 cm
Let ABC be a triangle with one of its sides BC be 9.5 cm, and its corresponding altitude be AD.

$∴ A r (Δ A B C) = \frac{1}{2} \times A D \times B C \Rightarrow 57 = \frac{1}{2} \times A D \times 9.5 \Rightarrow A D = \frac{2 \times 57}{9.5} \Rightarrow A D = 12 c m$

Hence, the correct answer is option (c).

Suggest Corrections

Similar questions

Q. One side of a parallelogram is 8 cm. If the corresponding altitude is 6 cm, then its area is given by

Q. Find the area of triangle whose sides are

5

cm,

12

cm and

13

cm. Also, find the length of its altitude corresponding to the longest side

.

Q. The area of an isosceles triangle ABC is 48 cm

^{2}

, where AB = AC. If the perimeter of the triangle and its altitude AD on BC are 32 cm and 8 cm respectively, then the length of the equal sides is equal to

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

Q. The area of a rhombus is equal to the area of a triangle. If base of triangle is 24cm , its corresponding altitude is 16cm and one of the diagonals of the rhombus is 19.2cm. Find its other diagonal.

Join BYJU'S Learning Program

If area of a triangle is 57 cm2 and one of its side is 9.5 cm , then the length of its corresponding altitude is

The correct option is C 12 cmLet ABC be a triangle with one of its sides BC be 9.5 cm, and its corresponding altitude be AD. ∴Ar(ΔABC)=12×AD×BC⇒57=12×AD×9.5⇒AD=2×579.5⇒AD=12 cm Hence, the correct answer is option (c).

If area of a triangle is $57 c m^{2}$ and one of its side is $9.5 c m$ , then the length of its corresponding altitude is