Question

13. A right angled triangle and a square have the same base. If the area of the triangle is equal
to that of the square, then the ratio of the height of the triangle to its base is given by-
এটা সমকোণী ত্রিভূজ আৰু এটা বর্গ একে ভূমিত অৱস্থিত। ত্রিভূজৰ কালি আৰু বর্গক্ষেত্ৰৰ কালি সমান
হলে, ত্রিভূজৰ উচ্চতা আৰু ভূমিৰ অনুপাত হ’ব-
(202 : 1
(b) 2:3
(c) 3:4
(d) 1:3
5. The squared value of the diagonal of a rec:angle is (64 +L?) where L is less than 8 cm. The
lengin of the rectangle is --

(a) 6 cim.
(b) 10 cm.
(9 8 cnn.
(d) None of the above
​

Answer 1

Step-by-step explanation:

let side of square =a

then the base of triangle =a

area of square

${a}^{2}$

area of triangle =

$\frac{1}{2} \times base \: \times height$

puting these both formula eqaul and put values ,we get

height = 2a .

now ratio

$\frac{height}{base}$

$\frac{2a}{a } = 2$

your answer is (a) 2:1

(B)

let the dignol be A

now its sqaure =

${a}^{2} \: = (64 + l)$

a sq - l = 64

or

${a}^{2} - 64 < 8$

it is given

${a}^{2} - {8 }^{2} < 8 \\ (a + 8)(a - 8) < 8$