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The lengths of the three sides of the triangle are 30 cm, 24 cm and 18 cm respectively. The length of the altitude of the triangle corresponding to the smallest side is-
It is given in the question that,
Sides of the triangle = 30 cm, 24 cm and 18 cm
Let h be the altitude of the triangle
∴ Semi-perimeter =
=
= 36 cm
Now, Area of triangle =
=
=
= 216 cm^{2}
Also, Area =
216 =
216 = 9 × h
h =
= 24 cm
Hence, option (a) is correct
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
Area of an equilateral triangle having each side equal to 4cm is sq cm. | Area of an equilateral triangle having each side a is a^{2} sq units. |
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion(A) | Reason (R) |
The area of an isosceles triangle having base = 8cm and each of the equal sides = 5cm is 12cm^{2}. | The area of an isosceles triangle having each of the equal sides as a and base =b is . |
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion(A) | Reason (R) |
The area of an equilateral triangle having side 4cm is 3cm^{2} | The area of an equilateral triangle having each side a is (a^{2}) sq units. |
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
The sides of the triangle ABC are in the ratio 2 : 3 : 4 and its perimeter is 36 cm. Then ar(Δ ABC) = cm^{2}. | If 2s = (a + b +c) where a, b, c are the sides of the triangle, then its area is = . |
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
The area of an isosceles triangle having base = 24 cm and each of the equal sides equal to 13cm is 60cm^{2}. | If 2s = (a + b+ c) where a, b, c are the sides of a triangle, then area = . |
Match the following columns.
Column I | Column II |
(a) The lengths of three sides of a triangle are 26 cm, 28 cm and 30cm. The height corresponding to base 28cm is……cm | (p) 6 |
(b) The area of an equilateral triangle is cm^{2}. The perimeter of the triangle is…..cm | (q) 4 |
(c) If the height of an equilateral triangle is cm, then each side of the triangle measures …. Cm | (r) 24 |
(d) Let the base of an isosceles triangle be 6 cm and each of the equal side be 5cm. Then, its height is ….cm | (s) 12 |
The correct answer is :
(a)-…….. (b)-……..
(c)-……… (d)-………