(i) Find the area of triangle DEF.

In a right-angled triangle. If the hypotenuse is 101 cm and one of its sides is equal to 20 cm, what is its area (in cm²)?

(i) Find the ratio of the sides: QR : RP : PQ.

In the given figure, AD is the angle bisector of ∠CAE, CD = 6 cm, and DE = 8cm. Find the length of BC.

What is AD equal to?

The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. find its area.

In ΔPQR, the length of the side QR is less than twice the length of the side PQ by 3 cm. Length of the side PR exceeds the length of the side PQ by 14 cm. The perimeter is 55 cm. The length of the smaller side of the triangle PQR is:

The sides other than hypotenuse of the right-angle triangular park are in ratio 3 : 4. The sum of all sides is 144 m. Find the area of the triangular park.

In a right-angled triangle. If the hypotenuse is 101 cm and one of its sides is equal to 20 cm, what is its area (in cm²)?

The length of the perpendicular drawn from vertex A on the unequal side of an isosceles triangle ABC is 30 cm and the length of its equal sides is 34cm. What will be the area of ​​the triangle?

In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm. then the area of the triangle is:

If the base of an equilateral triangle is 8 cm, then find its area.

The base of a right-angled triangle is 12 cm and the difference between the other two sides is 6 cm. What will be the perimeter of the triangle?

The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²)

The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. Among the three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm²) of the triangle is:

Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm

 In ABC, \(\overline{AD}\) bisects ZA and D is a point on \(\overline{BC}\). If m(\(\overline{AC}\)) = 4.2 cm, m(\(\overline{BD}\)) =4 cm and m(\(\overline{BC}\)) = 7 cm, then find m (\(\overline{AB}\)).

∆ABC ~ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF = 25 cm, then the perimeter of ∆ABC is:

ABC is a triangle with sides of 6 cm, 4 cm, and 6 cm. D, E, and F are the midpoints of the sides AB, BC, and AC respectively. What is the area of the triangle DEF (in cm²)?

In ∆PQR, PR = 10 cm. Find the length of PT, where ST∥QR. Given that PS = 6 cm and QS = 14 cm.

Given that △ABC and △ADE are similar, which of the following options is necessarily true?

The sides of a triangle are of length 8 cm, 15 cm, and 17 cm. Find the area of the triangle.

The perimeters of two similar triangles, GST and FAX, are 48 cm and 36 cm, respectively. If FA = 12 cm, then GS is:

If the length of the three sides of the triangle is 36, 45, and 27 cm then find the area of the triangle.

In a triangle ABC, AB is 20% more than that of BC and AC is 50% more than that of AB. If the perimeter of the triangle is 120 cm, find the area (in cm²) of the triangle. (approx.)

In \(\triangle\)ABC, \(DE\parallel BC\) and 5AE=3EC. If AB= 6.4 units, then the value of DB(in units) is:

AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?

X, Y, and Z are three equalateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm, respectively, then what is the length of Z?

In the following figure, AN = 7 cm, BN = 8 cm, AC = 18 cm. What is the length of BC?

In △STU, X and Y are the points on sides ST and SU, respectively. XY is parallel to TU. If SX: XT = 2 : 5 and UY = 20 cm, then what is the value of SU?

Sides of a triangle are 12 cm, 9 cm and 9 cm. What is the radius of the circumcircle of this triangle?

In a triangle ABC, D and E are two points on sides AB and AC, respectively, such that DE is parallel to BC and AD : DB = 3 : 5. If AC = 5.6 cm, then find the value (in cm) of AE.

An equilateral triangle of side 12 cm is inscribed in a circle. What is the area (in cm²) of the circle?

In  ∆MNO, ∠N = ∠O and NO = 12 cm, MO = 10 cm and MP be the altitude, then the length of MP is:

In ∆PQR, S and T are the midpoints of the sides PQ and PR, respectively. The length of the side QR is 12 cm. If ST is parallel to QR, then find the length (in cm) of ST.

The area of a triangle having base 9 cm and height 16 cm is:

In △XYZ, if XY = 5 cm, XZ = 7 cm and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:

Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of \(\triangle\)PQR, If the area of \(\triangle\)PQR is 32 cm², then find the area of \(\triangle\)ABC.

The perimeters of two similar triangles ABC and PQR are 156 cm and 46.8 cm, respectively. If BC = 19.5 cm and QR = x cm, then the value of x is:

The perimeter of an isosceles triangle is 91 cm and its base is \(1{{1} \over 4}\)times each of its equal sides. What is the length (in cm) of its base?

The perimeters of Δ ABC and Δ DEF are 39.6 cm and 26.4 cm, respectively, and Δ ABC ~ Δ DEF. What is the ratio of the areas of ΔABC and ΔDEF?

The length of the base of a right-angled triangle is 40 cm, and its hypotenuse is 41 cm long. What is the area (in cm²) and perimeter (in cm), respectively?

The lengths of the three sides of a triangle are 30 cm, 42 cm, and x cm. Which of the following statements is correct?

Find the area of an equilateral triangle with a side of 172 cm. (in cm²)

If D is the midpoint of BC in △ABC and ∠A = 90⁰, then AD = _______.

From a circle of radius r units, the largest equilateral triangle is cut out. What is the length (in units) of the side of the triangle?

In ∆ABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 15cm and CD = 9cm, then CB (in cm) =?

ΔΑΒΟ - ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:

Find the length of AB in the given triangle, if it is given that the length of BD is 4 units.

The area of triangle ABC is 39 cm². D and E are two points on BC such that BD = DE = EC, then what is the area of triangle ADC?