# Area of Triangle (Base Length and Height Are Known)

## Trending Questions

**Q.**Question 10

Find the area of the trapezium PQRS with height PQ given in the figure given below:

**Q.**

The perimeter of a right triangle is 144cm and its hypotenuse measure 65cm. Find the lengths of the other sides and calculate its area using heron's formula.

**Q.**

If the area of a triangle is 48cm^{2 }and its base is 8cm. Then find the height of the triangle.

6 cm

12 cm

9 cm

24 cm

**Q.**

Find the area of the triangle whose base measures 24 cm and the corresponding height measures 14.5 cm.

**Q.**

The difference between two adjoining sides containing right angle of a right angled triangle is 14cm . The area of a tristria is 120cm . Verify the area using herons formula.

**Q.**The lengths of the sides of a triangle are 5 cm, 12 cm and 13 cm. The length of the perpendicular from the opposite vertex to the side whose length is 13 cm is m13. Find the value of m÷10.

- 6
- 60
- 5
- 13

**Q.**

If each side of a triangle is tripled then find its percentage increased in area?

**Q.**

ABC is a triangle in which D is the mid point of BC and E is the mid point of AD. Then area (∆BED) is equal to

**Q.**Question 1

An isosceles right triangle has area 8cm2. The length of its hypotenuse is

**Q.**

If the height of a triangle is 10 cm and its area is 40 cm2, then the base of the triangle is 6 cm.

8cm

18cm

**Q.**

If the base of a triangular field is 12cm and height is 14cm.What will be the area of the triangle in cm2?

**Q.**If every side of a triangle is doubled, then increase in the area of the triangle is

(a) $100\sqrt{2}\%$

(b) 200%

(c) 300%

(d) 400%

**Q.**If the base and height of a triangle are 10 cm and 5 cm respectively, then find the area of the triangle.

- 50 sq cm
- 30 sq cm
- 25 sq cm
- 20 sq cm

**Q.**

What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units?

$\frac{lw}{2}$

$\frac{lw}{3}$

$\frac{lw}{4}$

$\frac{lw}{6}$

**Q.**

Area of a triangle $=\frac{1}{2}\times base\times $______.

**Q.**

Find the area of the quadrilateral (in sq.units) as shown in the figure below. ∠EAB = ∠AED = 90°. Given that: AB + AE = 4 units and EC = 7 units.

- 18
- 9
- 22
- 16

**Q.**In the given figure, AB = 8 cm, BC = 6 cm, AC = 10 cm, then the area of ΔABC is equal to

- (√3+20)cm2
- (20√3+5)cm2
- (24−√3)cm2
- 24cm2

**Q.**86.Two sides of a triangle are 10 cm and 5 cm in length and the length of the median to the third side is 6.5 cm. If the area of the triangle is Find the value of p.

**Q.**Question 53

Fill in the blanks to make the statement true.

Area of triangle = 12×base×

**Q.**There is a point inside an equilateral triangle which at dis†an ces 1, 2 and 3 from three sides. The area of the triangle is 1. not determinable 2. 6 3. 6\sqrt3 4. 12\sqrt3

**Q.**In the equilateral triangle ABC , the points D and E are on AC and AB respectively , such that BD and CE intersect at 0, and the area of the quadrilateral ADoE is equal to area of triangle BoC find angleBOE? f

**Q.**

Find the area of triangle whose base is $5\mathrm{cm}$ and height is $6\mathrm{cm}$. Find the area of triangle.

**Q.**The length of two sides of an isoscele traingle are 5 cm and 8 cm, find perimeter of triangle.

- 5 cm
- 21 cm
- 13 cm
- 8 cm

**Q.**13 Any point D is taken on the base BC of a triangle ABC and it is produced to e such that d e equal to ad. show that show that the area of triangle BCE is equal to the area of triangle ABC

**Q.**

The area of the largest triangle that can be inscribed in a semi-circle of radius $r$ units is (A) ${r}^{2}$ $sq.units$ (B) $\frac{1}{2}{r}^{2}$ $sq.units$ (C) $2{r}^{2}$ $sq.units$

(D) $\sqrt{2}{r}^{2}$$sq.units$

**Q.**The area of an isosceles triangle ABC is 48 cm2, 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

- 8 cm
- 10 cm
- 12 cm
- 13 cm

**Q.**Refer to the isosceles triangle shown, where AB = AC = x. AE is the perpendicular such that AE = p and BC = d. Find the length of CD

(Given that AB⊥CD and also, d = 2x)

**Q.**

If the area of an equilateral triangle is 25√3 cm2, then its perimeter =

10

30

45

60

**Q.**

Find the area of a triangle whose base is $18cm$ and altitude is $10cm$.

**Q.**A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitudes.