Secondary School (English Medium) (5 to 8) कक्षा ७ - CBSE Question Bank Solutions for Mathematics

Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is ______.

If area of a triangular piece of cardboard is 90 cm², then the length of altitude corresponding to 20 cm long base is ______ cm.

Area of a triangle = `1/2` base × ______.

Observe all the four triangles FAB, EAB, DAB and CAB as shown in the following figure. 

1. All triangles have the same base and the same altitude.
2. All triangles are congruent.
3. All triangles are equal in area.
4. All triangles may not have the same perimeter.

In the following figure, ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio of base BC of triangle ABC to the base CD of triangle ACD.

Triangles having the same base have equal area.

Ratio of the area of ∆WXY to the area of ∆WZY is 3 : 4 (see figure). If the area of ∆WXZ is 56 cm² and WY = 8 cm, find the lengths of XY and YZ.

In the following figure, area of ΔPQR is 20 cm² and area of ΔPQS is 44 cm². Find the length RS, if PQ is perpendicular to QS and QR is 5 cm.

Area of a triangle PQR right-angled at Q is 60 cm² (see figure). If the smallest side is 8 cm long, find the length of the other two sides.

In the following figure, triangle AEC is right-angled at E, B is a point on EC, BD is the altitude of triangle ABC, AC = 25 cm, BC = 7 cm and AE = 15 cm. Find the area of triangle ABC and the length of DB.

Find the missing value:

Find the missing value:

Find the following product:

(−12) × (−11) × (10)

Find the following product:

9 × (−3) × (−6)

Find the following product:

(−18) × (−5) × (−4)

Find the following product:

(−1) × (−2) × (−3) × 4

Find the following product:

(−3) × (−6) × (−2) × (−1)

In the adjoining figure, identify:

1. The pairs of corresponding angles.
2. The pairs of alternate interior angles.
3. The pairs of interior angles on the same side of the transversal.
4. The vertically opposite angles.

Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`) 

14 cm

Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`) 

28 mm