Question

a quadrilateral has an area of 510 sq cm and the lenth of the diagonal is 30 cm . calculate the lenth of its corresponding heights if they are equal.

Answer 1

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FORMULA FOR CALCULATING THE AREA OF QUADRILATERALS IS 1/2(d)(h1+h2)

GIVEN AREA OF QUADRILATERAL IS 510sq cm


GIVEN LENGTH OF DIAGONAL (d)=30


510=30/2(2h) {h+h=2h}
510=30h
510/30=h
51/3=h
17=h

therefore, the lenth of its corresponding heights each =17cm

Answer 2

Answer:

your answer is 17

Step-by-step explanation:

the corresponding heights means the second diagonal

so area of a rhombus = 1/2 *d1 * d2

= 1/2*30*(h+h) { there are two heights on both side of the first diagnols and are equal}

510 =1/2*30*2h

510*2/30=2h

34=2h

34/2=h

17=h

hence the length of both equal corresponding heights is 17cm each.

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