Question

If the area of a right-angled triangle is 70 2and one of the sides containing the right angle is 14 cm, find the length of other leg.

Answer 1

Answer:

area of right angled triangle=(b×h)/2

70cm²= (14×h)/2

140=14×h

h=140/14=10cm

Step-by-step explanation:

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Answer 2

Given -

• Area of triangle = 70cm²

• Length of 1st side = 14cm

To find -

• Length of 2nd side.

Solution -

In this question, we are given with the area and length of one side of a triangle, and we need to find the length of 2nd side, for that we will use the formula of area of triangle.

So -

Area of triangle = $\sf\dfrac{1}{2}$ × b × a

where -

b = Base = x cm

a = Altitude = 14cm

On substituting the values -

Area = $\sf\dfrac{1}{2}$ × Base × Altitude

$\longrightarrow$ $\sf\dfrac{1}{2}$ × x × 14cm = 70cm²

$\longrightarrow$ 7x = 70cm²

$\longrightarrow$ x = $\sf\cancel\dfrac{70cm}{7}$

$\longrightarrow$ x = 10cm

Verification -

Area = $\sf\dfrac{1}{2}$ × b × a

70cm² = $\sf\dfrac{1}{2}$ × 10cm × 14cm

70cm² = 10cm × 7cm

70cm² = 70cm²

$\therefore$ Length of 2nd side of triangle is 10cm

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