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How do you find the lengths of the two other sides of a right angled triangle that has an hypotenuse of 17 cm and a base that is 7 cm shorter than its height?
Wiki User
∙ 13y ago
a = b + 7
a2 + b2 = 172
(b + 7)2 + b2 = 289
b2 + 14b + 49 + b2 = 289
2b2 + 14b - 240 = 0
b2 + 7b - 120 = 0
( b + 15)(b - 8) = 0
b = 8, a = 15
Check: 64 + 225 = 289? Yes. Job done.
Wiki User
∙ 13y ago
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How do you find one of the shorter sides of a right angled triangle knowing the hypotenuse and one of the shorter sides?
a^2 + b^2 = c^2 c= hypotenuse a and b are the legs (sides) of the triangle
Which is the hypotenuse in the triangle?
right angled
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
What is a hypotenuse?
A hypotenuse is the long side of a right triange.
What is hl congruency theroem?
If the hypotenuse and one leg of a right angled triangle are congruent to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent.
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
How do you find one of the shorter sides of a right angled triangle knowing the hypotenuse and one of the shorter sides?
a^2 + b^2 = c^2 c= hypotenuse a and b are the legs (sides) of the triangle
Which is the hypotenuse in the triangle?
right angled
What is Pythagoras best remembered for?
Pythagoras is most famous for discovering Pythagoras' Theorem, which is a formula for finding lengths of sides on a right angled triangle. The formula is: a2+b2= c2 where c is the hypotenuse (longest side of the triangle) and a and b are the shorter sides.
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
Do A triangle with sides of lengths 32 60 and 68 is a right triangle?
Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
How do you find the hypotenuse of a non right triangle?
By definition, the hypotenuse is the side opposite the right angle in a right angled triangle. Therefore, a hypotenuse does not exist as one of the three sides in a non-right angled triangle.
What is a hypotenuse?
A hypotenuse is the long side of a right triange.
What you the longest side of a right triangle?
the hypotenuse. If it is a right angled triangle
What side is the hypotenuse in a right triangle?
I am guessing you mean a right angled triangle. The hypotenuse is the longest side on a right angled triangle. So it is the side facing / parallel to the right angle.
What is the number of hypotenuse in right angled triangle?
1
